7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random variables for the solutions to the questions below. (a) Write down a precise sum expression for the probability that the first five rolls give a three at most two times. (b) Calculate the probability that the first three does not appear before the fifth roll. (c) Calculate the probability that the first three appears before the twentieth roll but not before the fifth roll.

Answers

Answer 1

Answer:

0.9646 ; 0.5685

Step-by-step explanation:

Given that :

P(obtaining 3 on a die roll) = 1/6 = 0.1667

Obtaining 3 at most 2 times in five trials

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = 5 ;, p = 0.1667

P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)

Using the binomial probability :

P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608

P(x ≤ 2) = 0.9646

B.) using geometric distribution :

(1 - p)^x-1 * p

P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)

1 - (0.1667 + 0.1157+0.0965+0.0804)

= 0.5685


Related Questions

Find the volume of the given cone.
A.320 in
B.1,244 in
C.415 in
D.622 in

Answers

Answer:

the correct answer is c. 415in

Step-by-step explanation:

You have to multiply the base radius by the height.

Looking for the same answer

This cylinder is 7 inches tall and has a volume of 63pi in3. what is the area of the cross section​

Answers

Answer:

area of cross section of cylinder is  inch²

Step-by-step explanation:

Given : Cylinder is 7 inch tall and has a volume of inches³.

We have to find the area of cross section of cylinder.

Area of cross section of cylinder =

To find the cross section first find radius.

Given Volume of cylinder = inches³

Also , Volume of cylinder =

Thus,

Divide both side by 7, we get,

On simplifying , we get,

Since, radius has to be positive, thus neglecting negative term.

Thus, radius of cylinder = 3 inch

Thus, area of cross section of cylinder =

area of cross section of cylinder =

Thus, area of cross section of cylinder is  inch²

Step-by-step explanation:

Help me please, I want the answer only.

Answers

Answer:

6 I guessed by looking at the equation

Step-by-step explanation:

Sorry if wrong

ok so 8m confused because I don't know if it's Perimeter or area but please help me​

Answers

hey just tell me is it a right angled triangle or not?

16 points + BRAINLIEST if your answer is correct!

Answers

Answer:

second one

112 red tomatoes

Step-by-step explanation:

8 - 5 = 3

42/3 = 14

14 times 8 = 112

what is the leading coefficient for the polynomial -3x^2-5x-4

Answers

The leading coefficient is -3
The leading coefficient is -3. This is because leading coefficient is always the constant in front of the x value with the highest square root.

Forest Gump walks 30 miles a week for exercise. He has completed 45%
of his weekly goal. How many more miles does Forest have to walk to
meet his goal? *
A. 16.5
B. 13.5
C. .45
D. 20

Answers

Answer

A. 16.5

Step-by-step explanation:

First you calculate what 45% of 30 is. Then you subtract that from 30.

1 to the 10 power is what

Answers

Answer:

all u have to do is add a 0 to the end of 1 so it is 10

Step-by-step explanation:

Write an expression that is equivilant to 5(6+y)

Answers

Answer:

6(5+y) or (30+y)

Step-by-step explanation:

You can just switch around the variables and numbers but keep the equation the same or simplify

Answer: 30+5y

Step-by-step explanation: Which is simplifying

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

Answers

Answer:

I think 9

Step-by-step explanation:

Answer:

I am probably wrong because I don't remember this but it might be 9 or 19

Step-by-step explanation:

4+2+2+1=9=9+9=18

Which is greater 1/4 or .25

Answers

Answer:

they are both the same equal

Step-by-step explanation:

can i get brainliest

They are both the same because 1/4 is 0.25 in fraction form and 0.25 is 1/4 in decimal form.

can someone please help ? (:

Answers

Answer:sure what do you need

Step-by-step explanation:

n

The area is 81 because you multiply 9 times 9 is 81 and then you round to the nearest tenth is 81.0

Would you prefer a high or low-interest rate for a savings account? for a loan? Explain for both.

Answers

explanation:

Low interest rates are better than high interest rates when borrowing money, whether with a credit card or a loan. A low interest rate or APR (annual percentage rate) means you're paying less for the privilege of borrowing over time. High interest rates are only good when you're the lende

-by TheRealMarinette

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?

Answers

Answer:

The right answer is B.

Step-by-step explanation:

To be sure if three sides could be used to form a triangle, you need to remember that two sides of a triangle added together is always greater than the final side. B is the only selection that does not work for the law, 3 + 5 = 8 which is smaller than 10, so the corrct answer is B.

The sales tax on a $150 DVD player is $6. What is the sales tax rate?

Answers

What percent of 150=6
X/100 * 150=6
/150. /150
X/100=0.04
X/100 *100/1 =0.04* 100/1
X=4
4% of 150=6

That means that for every dollar they take 4 cents from each dollar
150*4 pennies would equal 600 pennies or 6$ or 6.00
Hope this helps!

Solve the system of equations by elimination. Explain your reasoning or show your work.

Answers

9514 1404 393

Answer:

  (x, y) = (5, 4)

Step-by-step explanation:

Subtracting the second equation from the first eliminates the x term.

  (4x +6y) -(4x +2y) = (44) -(28)

  4y = 16 . . . . simplify

  y = 4

Using the second equation to find x, we have ...

  4x +2(4) = 28

  x + 2 = 7 . . . . . . divide by 4

  x = 5 . . . . . . . . . subtract 2

The solution is (x, y) = (5, 4).

Juanita has 16 model cars and 48 model trains. What is the ratio of the wmber of trains to the member of cars?
O 13
O 14
O 3:1

Answers

Answer:

1:3

Step-by-step explanation:

but thats not and answer

A line passes through the point (8,-6) and has a slope of 3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 3/2x - 18

Step-by-step explanation:

y = mx + b

-6 = 3/2(8) + b

-6 = 12 + b

b = -18

The following are the distances (in miles) to the nearest airport for 14 families.
13, 14, 19, 21, 21, 22, 26, 28, 34, 35, 36, 41, 43, 44
Notice that the numbers are ordered from least to greatest.
Give the median, lower quartile, and upper quartile for the data set.
(a) Median:
(b) Lower quartile:
(c) Upper quartile:

Answers

Median=27
Lower quartile=21
Upper quartile= 36

A paint store sells 4 pints of paint for $19.00. How much is one pint of paint?

Answers

Answer:

4.75

Step-by-step explanation:

19/4 = 4.75

$4.75 a pint. simply do 19 divided by 4

Please answer 1 and 2 soon

Answers

Answer:

1.36+3+(32)(2)

=57

error is that 6 is the wrong answer

look at the picture plss help​

Answers

The solution for b could really be any answers as long as when that number is  divided by 4.3 it is less than 11.3

1 possible answer though could be 11.3

Because when 11.3 is divided by 4.3 it is less then 11.3

Sorry if I'm missing something and the answer is wrong!

Sharla spent twice as long riding her bike as she spent doing chores. Her chores included cleaning her room and walking her dog for 20 minutes. Sharla rode her bike for 60 minutes. How much time did she spend cleaning her room?

Answers

Answer:

Ten minutes.

Hope that helps!

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

Answers

Answer:

32

Step-by-step explanation:

i just did 4 times 4 and add it  to 8 times 2

Answer:

The area of the figure is 28.

Step-by-step explanation:

First, split it into a square and a trapezoid.

Then calculate the area of each of them.

Square = 4 times 4 = 16

Trapezoid = ((4 + 2)/ 2)*4 = 12

12 + 16 = 28

I hope this helps :)

What is the GCF of 18 and 45? fast!!

Answers

Answer:

The GCF of 18 and 45 is 9

For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them.

For 18 and 45 those factors look like this:

. Factors for 18: 1,2,3,6,9 and 18

. Factors for 45: 1,3,5,9,15 and 45

As you can see when you list out the factors of each number, 9 is the greatest number that 18 and 45 divides into.

Step-by-step explanation:

l hope it helps❤

Answer:

9 is it HOPE THIS HELPS

What is the equation?

Answers

Answer:

y=-2+4

Step-by-step explanation:

we know the y intercept is four, so we can plug that into y=mx+b

so far we know y=mx+4

and the equation for finding slope is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

so let's find two points on the graph

let's make it easy on ourselves and use the points laid out for us

(0,4) and (2,0)

[tex]\frac{0-4}{2-0}[/tex]

solving that would come out to be [tex]\frac{-4}{2}[/tex]

simplified, that would be -2

now that we know the slope, we can put them into slope-intercept form

y=-2+4

Refer to the Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants, Exercise 1.6 (p. 6). Recall that a questionnaire was administered to a random sample of 700 account- ing alumni of a large southwestern university; how- ever, due to nonresponse and incomplete answers, only 198 questionnaires could be analyzed. Based on this information, the researchers concluded that Machiavellian behavior is not required to achieve success in the accounting profession. (a) What is the population of interest to the researcher? (b) Identify the sample. (c) What inference was made by the researcher? (d) How might the nonresponses impact the inference?

Answers

Answer:

Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants

a) Population of interest to the researcher: accountants

b) Sample = 700 accounting alumni

c) The inference made by the researcher = Machiavellian behavior is not required to achieve success in the accounting profession.

d) The non-responses reduce the sample size and this might introduce bias to the inference made to the population.

Step-by-step explanation:

a) Data and Calculations:

Research Question = Is Machiavellian behavior is required to achieve success in the accounting profession?

Population of interest = all accountants

Sample size = 700 accounting alumni of a university

No. of analyzed questionnaires = 198

No. of questionnaires not analyzed due to nonresponse and incomplete answers = 502 (700 - 198)

Percentage of analyzed questionnaires to sample size = 28.3% (198/700 *100)

Percentage of questionnaires not analyzed = 71.7% (100% - 28.3%)

Conclusion reached by the researchers = Machiavellian behavior is not required to achieve success in the accounting profession.

two actions that are inverses of each other and explain how one action "undoes" the other.

Answers

Answer:

jayfeather friend me

Step-by-step explanation:

The inverse functions “undo” each other, You can use composition of functions to verify that 2 functions are inverses. When you compose two inverses… the result is the input value of x. 3 3 g x x = Because f(g(x)) = g(f(x)) = x, they are inverses.

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Answers

Answer:

the answer should be 9

Step-by-step explanation:

[tex](256 * 3^{-5} * 6^{0} )^{-2} * (\frac{3^{-2}}{2^{3}} )^{4} * 2^{28}[/tex]

[tex](256*\frac{1}{3^{5}} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex](256*\frac{1}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex](\frac{256}{243} *6^{0})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex](\frac{256}{243})^{-2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex](\frac{243}{256})^{2}*(\frac{3^{-2}}{2^{3}})^{4}*2^{28}[/tex]

[tex]\frac{59049}{65536}*(\frac{1}{2^{3}*3^{2}})^{4}*2^{28}[/tex]

[tex]\frac{59049}{65536}*(\frac{1}{8*9})^{4}*2^{28}[/tex]

[tex]\frac{59049}{65536}*(\frac{1}{72})^{4}*2^{28}[/tex]

[tex]\frac{59049}{65536}*\frac{1}{26873856}*2^{28}[/tex]

[tex]\frac{9}{65536}*\frac{1}{4096}*2^{28}[/tex]

[tex]\frac{9}{65536*4096}*2^{28}[/tex]

[tex]\frac{9}{268435456}*268435456[/tex]

[tex]9[/tex]

Answer:

the answer should be 9

Step-by-step explanation:

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Is (3,5) a solution to the system - x +y = 1 and 2x + 4y = 2?

Answers

Answer:

No, it is not.

Step-by-step explanation:

Answer: The answer is no.

Step-by-step explanation: Plug in the values of -x + y = 1. -3 + 5 [tex]\neq[/tex] 1, and even if the other equation works out, the system of equations would not be valid.

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