. An insurance company predicts that about an 80% chance that a person aged 20 will be alive at age 65 in a certain population. Suppose that 64 people aged 20 are selected at random. What is the probability that at least 48 of them will still be alive at age 65

Answers

Answer 1

Step-by-step explanation:

the probabilty for exactly 48 people surviving is

(64 over 48) × 0.8⁴⁸ × 0.2¹⁶

the possible combinations of 48 people out of 64 associated with the probability of 48 survivors and 16 deaths.

"at least" is then sum of the probabilities of exactly 48, 49, 50, 51, ... 64 people surviving.

that is a longer calculation of these 17 possibilities.

they go

(64 over 48) × 0.8⁴⁸ × 0.2¹⁶ = 0.0714...

(64 over 49) × 0.8⁴⁹ × 0.2¹⁵ = 0.0933...

(64 over 50) × 0.8⁵⁰ × 0.2¹⁴ = 0.1119...

...

(64 over 63) × 0.8⁶³ × 0.2¹ = 0.00001004...

(64 over 64) × 0.8⁶⁴ × 0.2⁰ = 0.0000006277...

the sum is the probabilty (that at least 48 out of the 64 are alive at 64) of 0.8746...

the maximum single probability (for an exact number of survivors) is as expected at exactly 51 and exactly 52 survivors with a probability of 0.1229... for each case.

of course, this is around the expectation value of

64×0.8 = 51.2 (out of the 64 it is expected that per average 51.2 people survive and reach age 64).


Related Questions

A punch recipe calls for 1 1/2 quarts of sparking water and 3/4 of a quart of grape juice.
How much grape juice would you need to mix with 3 3/4 quarts of sparkling water?

Answers

Answer:

15/8 quarts is needed.

Step-by-step explanation:

Hoped this helped.

f(x) =2^x−4
g(x) = 5/x

evaluate g(f(2))=

Answers

Answer:

not possible

Step-by-step explanation:

f(2)=2^2-4=0

g(f(2))=5/0 it's not possible

10 times 10 times 100 divded by 1 times that again 10000

Answers

Answer:

100,000,000

Step-by-step explanation:

A fire is sighted due west of lookout A. The bearing of the fire from lookout B, 8.6 miles due south of A, is N 42°26'W. How far is the fire from B (to the nearest tenth of a mile)? 7) A)13.7 mi B)11.7 mi C)12.7 mi D)14.7 mi

Answers

Answer:

11.7 miles

Step-by-step explanation:

I hope this helped!

Solve for N is this equation.

Answers

Answer:

[tex]n + (13 - 6) = 124[/tex]

[tex]n+13-6=124[/tex]

[tex]n+7=124[/tex]

[tex]n+7-7=124-7[/tex]

[tex]n=117[/tex]

Set Question involving real and natural numbers

Answers

Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like

(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}

√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then

(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}

A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that

(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}

I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then

(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.

N is a subset of B, so

(iv.b) N - B = N = {1, 2, 3, ...}

How do I do this man

Answers

Answer:

D

Step-by-step explanation:

g(x)=[tex]-\sqrt[3]{x-1}[/tex]

12(6x + 10) + x = 9x + 5(1 – x) can u solve this?

Answers

Answer:

-115/69

Step-by-step explanation:

12(6x + 10) + x = 9x + 5(1 - x)

72x + 120 + x = 9x + 5 - 5x

73x + 120 = 4x + 5

69x = 5 - 120

69x = -115

x = -115/69

PLEASE HURRY NEED HELP!!!!!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.88 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

80.22

Step-by-step explanation:

Tìm hàm đơn thức tương đương

Answers

Answer:

what? elaborate please and thank you

help me ! ✬

work due tomorrow. i don’t understand this at all.

there’s 2 questions !


— don’t comment for points.

Answers

Answer:

32, 40

Step-by-step explanation:

See the image

Hope that helps! :)

Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of Cars. The title on the y-axis is Number of Wheels. Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin

Answers

Answer:

no its not a proportion

Step-by-step explanation:

because the line has to be straight unless the graph is scrap

Answer:

"Yes, it is a proportional relationship because the graph is a straight line"

Step-by-step explanation:

Your welcome ^^

PLEASE HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

7.11[tex]\leq[/tex]-7.1

Step-by-step explanation:

Answer:

Question 1- C. 7.11 > -7.1

Question 2- True

Question 3- -3 < -1 and -3 ≤ -1

Question 4- I don't know

Question 5- {3,4}

Step-by-step explanation:

I ran it through the calculator only on question 4 I didn't know the answer

-Rocketgamer360

Help help help help help help help help help help help

Answers

Answer:

Step-by-step explanation:

A' = (2 + 3, 1 + 2) = (5, 3)

B' = (-1 + 3, -3 + 2) = (2, -1)

C' = (3 + 3, -3 + 2) = (6, -1)

plzz help don't understand

Answers

Answer:

3b

Step-by-step explanation:

[tex]3\sqrt{b^{2} }[/tex]

= 3b

Convert 13.86° to degrees/minutes/seconds

Answers

Answer:

13,51,36.00

Step-by-step explanation:

Kendrick bought a laundry hamper online. It cost $9 plus 10% shipping and handling. What was the total cost?

Answers

Answer:  $9.90

Work Shown:

10% of $9 = 0.10*9 = 0.90

The shipping cost is $0.90, or 90 cents.

This means the total cost goes from $9 to $9.90

$9.90
9*0.10=0.90
9+0.90=$9.90

What is the nth term of each linear pattern?


a) 5.4, 8.4, 11.4, 14.4, 17.4...




b) 85, 80, 75, 70...




c) 38 1/2, 43 1/2, 48 1/2, 53 1/2, 58 1/2

Answers

a) 2.0+3.4n

b)90-5n

c)33 1/2+5n

Parents of children with developmental disorders can apply for federal funding for psychosocial rehabilitation. A government sociologist wants to know what percentage of applicants for this funding are in poverty. She obtains access to all their applications, groups the applications by state, and takes a simple random sample from each state's applications. Identify the population of interest to the sociologist.

a. Applicants for the federal funding who were in poverty
b. Applicants for the federal funding
c. Applicants who received the federal funding
d. Applicants whose applications were examined

Answers

Answer:

Applicants for the federal funding

Step-by-step explanation:

∠a = 85°, what does ∠b equal?

Answers

Answer:

∠b = 95°

Step-by-step explanation:

Assuming these angles are Supplementary, it would look something like this:

                                       /

                          ∠b      /    ∠a

  _______________/__________________

If this is true, and ∠a = 85°, then this means that ∠b must equal 95° because being supplementary angles means all angles add to 180°, so 180 - 85 = 95

Answer:

90° − 85° = 5°

Edgar Elementary
School is having a reading contest. Six
fourth-grade classes each set a goal to read
1,266 pages. Six fifth-grade classes each
set a goal of 2,212 pages. How many more
pages does each fifth-grade class have to
read than each fourth-grade class?

Answers

Answer:3333

Step-by-step explanation:

Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?
O A. y = 5x
OB. y = 5x + 10
O C. y = x
OD. y = 5x - 1

Answers

Answer:

y =5x

Step-by-step explanation:

[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]

(5 - 0) = m(1 - 0)

5 = m(1)

5 = m

[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x -5 + 5

y = 5x

What is 2x-3 when x=6

Answers

Answer:

0

Step-by-step explanation:

I’ll mark you brainliest if you help me answer 1-9 (no bs)

Answers

yyyy yy yy yuy idont know

Answer:

1. 0

2. undefined

3. 0

4. 0

5. undefined

6. undefined

7. undefined

8. 0

9. 0

Step-by-step explanation:

75% of the amount is 4.5 cm

Answers

Answer:

6

Step-by-step explanation:

8488.75 times 24.50 plz quick

Answers

Answer:

207,974.375

I'm not sure if you need an explanation, and I myself, am not sure I can explain it to you, so I'll just give the answer to you.

Hope this helps!

If Isabella runs 23 mile each day, how many miles will Isabella run in 6 days?

Answers

Answer:

[tex]138[/tex] miles in 6 days

Step-by-step explanation:

Our [tex]Rate[/tex] is [tex]23[/tex] miles per day.

Definition

Rate in Math - The speed of something happening in a certain amount of time, it is usually consistent.

Rate in Physics - Rate means rate of change. Basically, how much a certain quantity changes with respect to another quantity that is also changing. You may also sometimes hear the term gradient which describes the same thing.

To find how many miles she will run in 6 days we will multiply our [tex]Rate[/tex] by our Time, to find our distance, [tex](Miles, Physics)[/tex]

Our equation

[tex]23\cdot6[/tex]

Solve

[tex]138[/tex] miles in 6 days

Brainliest please :)

ASAP please!! What is the best approximation for one of the relative minimums of the
polynomial function graphed below?

Answers

Answer: C

Step-by-step explanation: Brainliest please

Which linear equation would produce a y-intercept of (0,-7) and a slope of 5?

Answers

Answer: y=5x-7

Hope this helps! :)


15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?

Answers

Answer:

3000 residents

Step-by-step explanation:

Given:

15% of population = 450100% of population = x

Cross-multiply and solve for x:

x = 100*450/15 = 3000
Other Questions
In the beginning, the world was only water. God looked down at the water from the sky, and decided to create land. God called his messenger Obatala, and told him to create land. Obatala was honored to be given such an important task. He called his helper Oduduwa to tell him the news. They filled a large pot with soil, and caught a chicken to take with them. They threw a rope down to the Earth. They began to climb down. When they were halfway to Earth, they stopped at a feast. Obatala ate too much and fell asleep. When Oduduwa found him asleep, he picked up the soil and the chicken and continued on the journey. Finally, Oduduwa reached the Earth. He sprinkled the soil over the water. He let the chicken go. The chicken ran in circles, making the soil spread in every direction until there was land. Oduduwa and the chicken created land from what used to be water. When Obatala finally woke up, he saw that Oduduwa had created land. He was very sad. He had missed his chance to create the world! God saw that Obatala regretted being lazy, and gave him another task. Obatala would create people for the Earth.Reread the West African creation story. Which statement best explains the lesson the story teaches?A. Laziness can cause people to miss their chance at doing something great.B. Chickens are the most important animal, and should be sacrificed to please the gods.C. People who do not complete their work will be punished.D. When two people work together, they can achieve anything. A gas occupies a volume of 120 mL at 700 mm Hg. What will happen to the volume of the gas if the pressure is changed to 1500 mm Hg at constant temperature Write an example of how a density-dependent factor can increase a population of birds. All ________ are required to be members of the Federal Reserve System. Group of answer choices banks with assets less than $100 million banks with assets less than $500 million state chartered banks national banks chartered by the Office of the Comptroller of the Currency the quotient of y and 8 is greater than 10 why does Justyce help Melo? c) 2 x x 3 x yPlease help There is a lot of misinformation spread, particularly online. How can studying philosophy build skills that help identify false information?Philosophy helps you assess arguments.Philosophy will make you more compassionate.Philosophy emphasizes research and fact-finding.Philosophy requires you to build basic tech skills. Carter, a 20-year-old American, goes to Japan to study Buddhism. He takes time to conform to Japanese culture and to act appropriately. He changes his individualistic attitude to conform to the collectivistic culture in Japan. Which of the following is most likely exhibited in this scenario?A. psychological reactance.B. social role.C. the chameleon effect.D. the boomerang effect. You receive a worksheet in which the rows are numbered 1, 2, 3, 5,6. This means that row 4 is _____. I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones. If tan(t) 2.7, and sin(t) 0.94, find cos(t) The___________ was established as the border between the United States and Mexico A: Ro Grande River B: Mississippi RiverC: Rocky Mountains D: Red River Shayla is relatively short, standing at only five feet tall. For a series of photos that she is working on called "Neighborhoods and Communities,"she has decided to take all of her photos while standing on top of a ladder. What aspect of composition is Shayla playing with by doing this?A filling the frame. rule of thirdsC. perspectiveD. background How did social Darwinism impact new imperialism! Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years? the doctrine of jesus virgin birth implies that jesus actual birth was supernatural. most modern immigrants come from which two regions? Who does more work- a man who lifts a large box from the ground into the back of a truck, or a man who puts the same box on a trolley and wheels it up a ramp into the truck? Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 28x + 42y 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.