A student majoring in accounting is trying to decide on the number of firms to which he should apply. Given his work experience and grades, he can expect to receive a job offer from 70% of the firms to which he applies. The student decides to apply to only four firms.
(a) What is the probability that he receives no job offer?
(b) How many job offers he expects to get?
(c) What is the probability that more than half of the firms he applied do not make him any offer?
(d) What assumptions do you need to make to find the probabilities? To increase the chance of securing more job offers, the student decides to apply to as many companies as possible, he sent out 60 applications to all different accounting firms.
(e) What is the probability of him securing more than 3 offers?

Answers

Answer 1

Answer:

a) 0.0081 = 0.81% probability that he receives no job offer

b) He expects to get 2.8 job offers.

c) 0.0837 = 8.37% probability that more than half of the firms he applied do not make him any offer.

d) Each job must be independent of other jobs. Additionaly, if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the normal approximation to the binomial distribution can be used.

e) 0.2401 = 24.01% probability of him securing more than 3 offers.

Step-by-step explanation:

For each application, there are only two possible outcomes. Either he gets an offer, or he does not. The probability of getting an offer for a job is independent of any other job, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

He can expect to receive a job offer from 70% of the firms to which he applies.

This means that [tex]p = 0.7[/tex]

The student decides to apply to only four firms.

This means that [tex]n = 4[/tex]

(a) What is the probability that he receives no job offer?

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.7)^{0}.(0.3)^{4} = 0.0081[/tex]

0.0081 = 0.81% probability that he receives no job offer.

(b) How many job offers he expects to get?

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

In this question:

[tex]E(X) = 4(0.7) = 2.8[/tex]

He expects to get 2.8 job offers.

(c) What is the probability that more than half of the firms he applied do not make him any offer?

Less than 2 offers, which is:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.7)^{0}.(0.3)^{4} = 0.0081[/tex]

[tex]P(X = 1) = C_{4,1}.(0.7)^{1}.(0.3)^{3} = 0.0756[/tex]

Then

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0081 + 0.0756 = 0.0837[/tex]

0.0837 = 8.37% probability that more than half of the firms he applied do not make him any offer.

(d) What assumptions do you need to make to find the probabilities? To increase the chance of securing more job offers, the student decides to apply to as many companies as possible, he sent out 60 applications to all different accounting firms.

Each job must be independent of other jobs. Additionaly, if [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the normal approximation to the binomial distribution can be used.

(e) What is the probability of him securing more than 3 offers?

Between 4 and n, since n is 4, 4 offers, so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401[/tex]

0.2401 = 24.01% probability of him securing more than 3 offers.


Related Questions

The following sample of weights was taken from 8 cookies off the assembly line. Construct the 95% confidence interval for the population variance for all cookies that come off the assembly line. Round your answers to two decimal places.

9.6,10.2,10.3,9.2,9.5,10.1,9.2,9.4

Answers

Answer:

what are you asking

Step-by-step explanation:

The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .

I Will Mark Brainliest​

Answers

Answer:

21

Step-by-step explanation:

All three sides are equal

2x-7 = x+y-9 = y+5

Using the last two

x+y-9 = y+5

Subtract y from each side

x+y-9-y = y+5-y

x-9 = 5

Add 9 to each side

x -9+9 = 5+9

x=14

We know the side length is

2x-7

2(14) -7

28-7

21

The side length is 21

Find the value of the variable y that results in congruent triangles

Answers

Answer:

y = 5

Step-by-step explanation:

[tex]7y-10=25\\7y=35\\y=5[/tex]

|x|+|x+1|+|x+2|+|x+3|+...+|x+2021=2021x

Answers

Answer:

jo pahle wale X hai na na X + x plus 1 unhen Yad Karke answer 1 aaega FIR X + 2 =_= + 3 X + 3 yah answer Aaya 1 or 2 X + ka ok

Step-by-step explanation:

FIR hai x+ x and ++ 2021 x

2021x

FIR + Kannan donon ko x

ans

x - 3 X

x - 4042

yah answer aayega ine donon ka the solve this question ok friend

Solve for x

6x + 11= - (6x + 5)

Answers

Answer:

x = -4/3

Step-by-step explanation:

6x + 11 = -6x - 5

12x = -16

x = -4/3

Answer:

x = -4/3

Step-by-step explanation:

6x + 11= - (6x + 5)

Distribute the minus sign

6x+11 = -6x-5

Add 6x to each side

6x+11 +6x = -6x-5+6x

12x+11 = -5

Subtract 11 from each side

12x+11-11 = -5-11

12x = -16

Divide by 12

12x/12 = -16/12

x = -4/3

What are the measures of Angles a,b, and c? show your work and explain your answers.​

Answers

Answer:

a=35

b=55

c=110

Step-by-step explanation:

a=35

Opposite angles which are non-adjacent angles formed by two intersecting lines are equal

b+35+90=180 sum of interior angle of a triangle equal to 180

b=180-125

  =55

c+70=180  Angles on a straight line add up to 180°

c=180-70

 =110

What is the area of the trapezoid?

Answers

Answer:

A=a+b

2

Step-by-step explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Which of the following are parallel to the line 2x+ 4y=16

Answers

You did not give a full question! sorry
I would put it in y=mx+b form first
So… y=-1/2x+4
Parallel lines share the same slope so whichever option has a slope of -1/2 is parallel

Just answer the questions please

Answers

Answer:

1)( y= 0.12 * x )             y(dependent) , x(independent)                                                                     2)  x=150 : y=18  /  x=300 : y=36  / x=450 : y=54  /  x=600 :   y=72  /  x=750 : y=90 / x=900 : y=108                                                                                                  3) 300+750+1050=2100 pound

 2100*0.12=252 pound food they need to eat in each day

252*7=1764 pound in each month

(sin 10° + cos 10º)2 - 2 sin 80°cos 80°​

Answers

Answer

the simplied form of the given question is 1

Solve for x. Round to the nearest tenth, if necessary.
S
540
R
2.3
X
O
Please help

Answers

Answer:

[tex]\boxed {\boxed {\sf x \approx 1.9}}[/tex]

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

[tex]sin \theta = \frac {opposite}{hypotenuse}[/tex]

θ= 54opposite= x hypotenuse = 2.3

[tex]sin (54)= \frac{ x}{2.3}[/tex]

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

[tex]2.3* sin (54)= \frac{x}{2.3}*2.3[/tex]

[tex]2.3* sin (54)=x[/tex]

[tex]2.3*0.8090169944=x[/tex]

[tex]1.860739087 =x[/tex]

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

[tex]1.9 \approx x[/tex]

x is approximately 1.9


The length of the hypotenuse is??

Answers

Answer:

[tex]x = 14.31[/tex]

Step-by-step explanation:

According to PYTHAGORAS Theorem,

let the Hypotenuse be x

[tex] {6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31[/tex]

Answer: 14.32

Step-by-step explanation:

To find the length of the hypotenuse, we need to use the Pythagorean Theorem.

Pythagorean Theorem: a²+b²=c²

Since we are given the legs, we can plug them in to find c.

[tex]6^2+13^2=c^2[/tex]           [exponent]

[tex]36+169=c^2[/tex]           [add]

[tex]205=c^2[/tex]                   [square root both sides]

[tex]c=\sqrt{205}[/tex]

[tex]c=14.32[/tex]

The hypotenuse is approximately 14.32.

I WILL MARK AS BRAINLIES

PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING

Answers

Answer:

Both are true

Step-by-step explanation:

Both are true

factorise: 30x^5+15x²y²+xy​

Answers

Answer:

your answer calculated would be: x(30x^4 + 15xy^2 + y)

Step-by-step explanation:

i used math-way it's a really useful online calculator

Dos coches están separados por una distancia de 12000 m salen al encuentro uno del otro, el primero con una aceleración de 5,6 m/s2 el segundo con 10,4 m/s2 , calcula el tiempo y la distancia de encuentro.


Un bus parte del reposo con una aceleración de 3,2 m/s2 y en ese mismo momento a 2 km de distancia, sale otro en sentido opuesto, también partiendo del reposo pero con una aceleración de 6,5 m/s2. Calcular la distancia y el momento de encuentro.


Dos vehículos separados por 1300 m parten al encuentro en el instante t=0. El primero lo hace con una velocidad inicial constante de 15 km/h. El segundo parte desde el reposo y con una aceleración de 1,2 m/s2. ¿A qué distancia de la salida del primer vehículo se encuentran?


Un automóvil se desplaza por una carretera que es paralela a la vía de un metrotren. El automóvil se detiene ante un semáforo que está con luz roja en el mismo instante que pasa un metrotren con una rapidez constante de 14 [m/s]. El automóvil permanece detenido durante 8 s y luego parte con una aceleración constante de 2,5 [m/s2 ]. Determine:

a)El tiempo que emplea el automóvil en alcanzar al metrotren, medido desde el instante en que se detuvo ante el semáforo.

Un micro parte del reposo y acelera a razón de 1,4 m/s2 . En este instante un pasajero que desea abordarlo, se encuentra a 12 [m] por detrás de la puerta y corre con una velocidad constante de 5 m/s.

a) Determinar si el pasajero alcanza o no al micro


Salva mi trimestre

Answers

Answer:

la respuesta es la primera ( a )

Step-by-step explanation:

help me please. who ever answers gets brainliest​

Answers

Answer:

32

Step-by-step explanation:

(4x6)/2+(2x2)/2+2x2+(2x6)/2

HURRY PLEASE!!!!!!
Line AB has a slop of 1/2
What would the slope of line CD have to be if we knew CD was perpendicular to AB?
2
-2
1/2
-1/2

Answers

Answer:

-2

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals

Take the slope of AB = 1/2

-1/(1/2)

-1 * 2/1

-2

The slope of a line perpendicular is -2

Ben travels a regular distance of 80 miles to reach office. Today, he used an alternative route that covered a distance of only 75 miles. What is the decrease in the percentage of the distance travelled by ben

Answers

Answer:

Ben traveled 93.75% of his usual distance.

Step-by-step explanation:

Given that Ben travels a regular distance of 80 miles to reach office, and today he used an alternative route that covered a distance of only 75 miles, to determine what is the decrease in the percentage of the distance traveled by Ben, the following calculation must be done:

80 = 100

75 = X

75 x 100/80 = X

93.75 = X

Therefore, Ben traveled 93.75% of his usual distance.

How many ways can four marbles be chosen from a set of five marbles?

Answers

Answer:

120

Step-by-step explanation:

5x4x3x2x1=120

Surface Area of cones
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.

Answers

9514 1404 393

Answer:

  64.1 ft²

Step-by-step explanation:

The area of the cone is given by ...

  A = πr(r +h) . . . . for radius r and slant height h

  A = π(2 ft)(2 ft +8.2 ft) ≈ 64.1 ft²

What is the distance between the following points?

Will give brainliest

Answers

Answer:

√65

Step-by-step explanation:

(-6,4) (-5,-4)

√(x2 - x1)² + (y2 - y1)²

√[-5 - (-6)]² + (-4 - 4)²

√(1)² + (-8)²

√1 + 64

√65

In the figure, triangles ABC and DEF are congruent.
Find the measure of DF.
a. 13m
b. 13m
c. 7m
d. 13.928m
Please show work to help me understand.

Answers

Answer:

since the two triangles are congruent..

AB=ED

AC=FD(side opposite to the right angle)

FD=AC

•°•FD=13m

Geometry work due tonight worth 50 points!!!!

Answers

Answer:

75

Step-by-step explanation:

All of the angles within the triangle must add up to 180 degrees. So, angle 2 =50

The angles 4,2,5 also equal 180 because they are on the blue line. Since angle 2=50 and angle 5= 55 angle 4 must be 75 which is needed to add up to 180.

Answer:

Angle 4 is 75°

b represent angle 2

d represent angle 4

70+60+b=180

130+b=180

b=50

55+50+d=180

105+d=180

d=75

Samuel baked 81 cakes how many more cake does Samuel have to bake to have 123 cakes

Answers

Answer:

42 cakes

Step-by-step explanation:

123 - 81 = 42

.....

Samuel needs to bake 42 more cakes to have a total of 123 cakes.

To find out how many more cakes Samuel needs to bake to have a total of 123 cakes, we subtract the number of cakes he already baked from the desired total.

Total desired cakes: 123

Cakes already baked: 81

To find the remaining cakes, we subtract the number of cakes already baked from the desired total:

123 - 81 = 42

Therefore, Samuel needs to bake 42 more cakes to have a total of 123 cakes.

To know more about  cakes , here

https://brainly.com/question/30083703

#SPJ2

Find the arclength of the curve r(t) = ⟨ 10sqrt(2)t , e^(10t) , e^(−10t)⟩, 0≤t≤1

Answers

Answer:

[tex]\displaystyle AL = 2sinh(10)[/tex]

General Formulas and Concepts:

Pre-Calculus

Hyperbolic Functions

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Exponential Differentiation

Integration

IntegralsIntegration Constant CDefinite Integrals

Parametric Integration

Vector Value Functions

Vector Integration

Arc Length Formula [Vector]:                                                                               [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[i'(t)]^2 + [j'(t)]^2 + [k'(t)]^2}} \, dt[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \vec{r}(t) = <10\sqrt{2}t , e^{10t} , e^{-10t} >[/tex]

Interval [0, 1]

Step 2: Find Arclength

Rewrite vector value function:                                                                     [tex]\displaystyle r(t) = 10\sqrt{2}t \textbf i + e^{10t} \textbf j + e^{-10t} \textbf k[/tex]Substitute in variables [Arc Length Formula - Vector]:                               [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{\bigg[\frac{d}{dt}[10\sqrt{2}t \textbf i]\bigg]^2 + \bigg[\frac{d}{dt}[e^{10t} \textbf j]\bigg]^2 + \bigg[\frac{d}{dt}[e^{-10t} \textbf k ]\bigg]^2}} \, dt[/tex][Integrand] Differentiate [Respective Differentiation Rules]:                     [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{[10\sqrt{2} \textbf i]^2 + [10e^{10t} \textbf j]^2 + [-10e^{-10t} \textbf k]^2}} \, dt[/tex][Integrand] Simplify:                                                                                       [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{200 \textbf i + 100e^{20x} \textbf j + 100e^{-20x} \textbf k}} \, dt[/tex][Integral] Evaluate:                                                                                         [tex]\displaystyle AL = 2sinh(10)[/tex]

Topic: AP Calculus BC (Calculus I + II)

Unit: Vector Value Functions

Book: College Calculus 10e

The product of two positive integer numbers is 70 and the sum of the same two numbers is 17. Find the
numbers.

Answers

Answer:

7 and 10

Step-by-step explanation:

7 * 10 = 70

7 + 10 = 17

Answer:

10 and 7

Step-by-step explanation:

call them a and b, respectively

so a*b=70 -> b=70/a

a+b=17 ->a+70/a=17 ->a=10 b =7

Answer this question that is given

Answers

Answer:

See explanation

Step-by-step explanation:

2) (10+4) x 2 = 28

3) (13 + 6) x 2 = 38

4) (8+4) x 2 = 24

5) (11+8) x 2 = 38

Answered by Gauthmath

For an ordered pair left parenthesis x comma y right parenthesis in a relation, the x element represents the

Answers

Answer:

the x éléments représente the domain

x represents the value on the x-axis and the coordinate is also known as abscissa.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

For an ordered pair left parenthesis x comma y right parenthesis in a relation that is (x, y).

Here x represents the value on the x-axis and the coordinate is also known as abscissa.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

What are the first and third quartiles for the following data set?
12, 15, 18, 16, 14, 9, 12, 21
A 9 and 21
C 12 and 17
B 12 and 16
D 15 and 17

Answers

Answer:

A

Step-by-step explanation:

I guess that is it may be

Please help me solve for this don't report I did NOT ignore the Honor rule

Answers

Answer:

x = 25

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

150 = 4x+50

Subtract 50 from each side

150-50 = 4x+50-50

100 = 4x

Divide by 4

100/4 = 4x/4

25 = x

The answer should be 25
Other Questions
how environmental factors affect the variation and distribution of expressed traits in a population Nicotine is the addictive component in tobacco smoke in the triangle below which of the following best describes dh The figure below is a square. Find the lengthrational denominator.side x in simplest radical form with aAnswer: 2Submit AnswerPlsssss help Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.This is a triangle. side a has a length of 6 yards. side b has a length of 10 yards. side c has a length of 14 yards. The altitude to side c has a length of X yards. what is x Write a balanced half-reaction for the oxidation of manganese ion (mn2 ) to solid manganese dioxide (mno2) in acidic aqueous solution. Be sure to add physical state symbols where appropriate. instructions find the value of x If there are 3 people splitting a paycheck of 89 how much would each have to pay Illustrate the 7th pattern of the sequence of square numbers. What is the range of f(x)?{xl-2{x|-2{yl-5{yl-5 sy The Learner Company uses the weighted average method. Learner's beginning work in process consists of 6,600 units (100% complete with respect to materials and 60% complete with respect to conversion costs). The number of units completed during the period is 126,000. The ending work in process consists of 10,500 units (100% complete with respect to materials and 30% complete with respect to conversion costs). What are the equivalent units of production with respect to conversion costs In the story, Nuttel is given letters of introduction by his sister. What's the purpose of these letters?A. to attend a particular social eventB. to apply for a jobc. to ask for a hand in marriageD. to make social calls Jordan buys sandals and sunglasses for a trip to the beach. The sunglasses cost $6. The sandals cost 3 times as much as the sunglasses. How much do the sandals cost? Is the following equation graph a linear function a non linear function and or a relation The company has net sales revenue of $3.6 million during 2018. The company's records also included the following information: Assets 12/31/17 12/31/18 Property, plant and equipment $ 2.3 million $ 2.5 million Licensing agreements $ 0.5 million $ 0.4 million Goodwill $ 0.3 million $ 0.3 million Investments $ 0.4 million $ 0.5 million What is the company's fixed asset turnover ratio for 2018 if you look away from this sentence and focus your eyes on a distant object, the eye muscles _______ to focus images on the retinas Type the correct answer in each box. Spell all words correctly.Digital artist Frank is discussing how to enhance scanned or photographed images. Complete the following sentences while keeping in mind the topic of discussion.You can rework or enhance scanned or photographed images using photo editing and illustration software or by using a digital____. The device has a_____surface on which you can draw images, graphics, and animations. different seeds need different cultivation. justify in 200 words.for 18 points PLEASE HELPPPBelow is a function. Create an input/output table for the function. Choose 4 different inputs and complete the table.y=2x-1 Instructions: Solve the triangle, find mA and mZC.