An insurance company divides its policy holders into three categories: low risk, moderate risk, and high risk. The low-risk policy holders account for 55% of the total number of people insured by the company. The moderate-risk policy holders account for 25%, and the high-risk policy holders account for 20%. The probabilities that a low-risk, moderate-risk, and high-risk policy holder will file a claim within a given year are respectively 5%, 15% and 60%. Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?

Answers

Answer 1

Answer:

0.2027 = 20.27% probability that the person is a moderate-risk policy holder

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Policy holder files a claim.

Event B: The person is a moderate-risk policy holder.

Probability of filling a claim:

5% of 55%(low risk)

15% of 25%(moderate risk)

60% of 20%(high risk).

So

[tex]P(A) = 0.05*0.55 + 0.15*0.25 + 0.6*0.2 = 0.185[/tex]

Files a claim and is moderate risk:

15% of 25%(moderate risk)

So

[tex]P(A \cap B) = 0.15*0.25 = 0.0375[/tex]

Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.185} = 0.2027[/tex]

0.2027 = 20.27% probability that the person is a moderate-risk policy holder


Related Questions

The store ordered small posters and large posters to promote their opening. 12 times as many small posters were ordered as large posters. If there were 48 large posters, how many more small posters were ordered than large posters.

\

Answers

Answer:

I think it is 576 small posters.

Step-by-step explanation:

48×12= 576

Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks a total distance of 10 km every day. How much time does he take to cover one km?

Hint 1 Notice the unit of Speed.

Hint 2 Can you figure out the distance covered in one hour​

Answers

Answer:

Jim's walking speed = 312kmph

covered distance = 10km

time taken for one hour = ?

we know that: Distance =speed × time

=>Time = Distance/speed

=> Time = 10/312=5/156 hours

= Time = (5×60)/156=300/156=75/39=1.9 minutes

Step-by-step explanation:

In ΔMNO, m = 55 inches, n = 48 inches and o=59 inches. Find the measure of ∠O to the nearest 10th of a degree.

Answers

Answer: 69.5 degree

What is the domain?
(-∞,∞)

[0,∞)

(-∞,0]

-2, 2

Answers

Answer:

(-∞,∞)

Step-by-step explanation:

The domain is the possible x values, so for this function x^2 , the possible x values are all the values

(-infinity , infinity)

Help me and I’ll give you brainliest

Answers

Answer:

The answer is 21

The population of a city has been increasing by 2% annually. In 2000, the population was 315,000. Predict the population of the city in 2020. Round your answer to the nearest thousand.​

Answers

Answer:

In 2020 there will be 468,073 people.

Step-by-step explanation:

Giving the following information:

Growth rate (g)= 2% = 0.02

Population 2,000= 315,000

Number of periods (n)= 20 years

To calculate the population in 2020, we need to use the following formula:

FV= PV*(1+g)^n

FV= 315,000*(1.02^20)

FV= 468,073

In 2020 there will be 468,073 people.

What three dimensional shape is made when you rotate a triangle horizontally?

Answers

Answer:

When you rotate a triangle horizontally, a cone is formed.

Help with Trig and special right triangles (PIC INCLUDED)

Answers

Answer:

sin a = cos C

sin C = AB/AC

tan a = BC/AB

A bag of sugar contains 420g. A
special offer packet contains an extra
15%. Work out how much extra sugar
is in the special offer packet.

Answers

Answer:

63g extra

Step-by-step explanation:

420 x 0.15 =63 g

A circle that has a center at the origin and a diameter of 12

Answers

Answer:

A≈113.1

Step-by-step explanation:

A=πr2

A=π·62

A≈113.09734

A=113.1 is your answer have a great rest of your day :)

simpfly (7x+5)-(2x2-8x+6) choose the standard form of the answer

Answers

Step-by-step explanation:

7x+5-2x^2+8x+6

-2x^2+15x+11

PLEASE HELP ME WITH THIS ONE

Answers

the answer is B. 2

Both are close to 2 but a little under or a little over

Answer:

I want to say 2

Step-by-step explanation:

if you try to solve them you get 1.22.... and 2.82.... so 2 is in-between

5x10 but showing your work

Answers

Answer: 50

Step-by-step explanation: 5 times 10 means that there is going to be 5 10’s added together, so 10+10 = 20 + 10 + 10 = 40 + 10 = 50 so 5 times 10 is 50

Find the slope of BG, and HL using the coordinates; B(-4, 3), G(-2, 4), H(1, -2), L(-1, -3). then determine if the lines are parallel.​

Answers

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

BG = [tex]\frac{4-3}{-2--4}[/tex] = 0.5

HL = [tex]\frac{-3--2}{-1-1}[/tex] = 0.5

This mean that the lines are parallel ..

¿cuál. es el. valor. nutricional total de la naranja ?​

Answers

Answer:

Las naranjas aportan cantidades importantes de vitamina C y folatos. Tienen un contenido apreciable de tiamina, vitamina A, calcio, potasio yfibra y destacable contenido de carotenoides y flavonoides.

Step-by-step explanation:

Answer:

Las naranjas aportan cantidades importantes de vitamina C y folatos. Tienen un contenido apreciable de tiamina, vitamina A, calcio, potasio yfibra y destacable contenido de carotenoides y flavonoides.

Step-by-step explanation:


There are 8 red, 5 blue, and 2 green marbles in a hat. Without looking, you picked a blue marble. Without putting the blue
marble back, what is the probability of picking a green marble?

Answers

The answer of picking a green marble is 2/14 which is 1/7.

Answer:

1/3

Step-by-step explanation:

Evaluate the expression: 8 ⋅ (1/2)^2

Answers

Answer:

2

Step-by-step explanation:

8 ⋅ (1/2)^2 = 8 * (1/2) * (1/2)

=4/2

=2

Need the answer been stuck on this

Answers

Answer:

19 cm³

Step-by-step explanation:

The figure cam be decomposed into two cuboid.

✔️Dimension of cuboid 1:

L = 2 cm

W = 1 cm

H = 8 - 3 = 5 cm

Volume = L * W * H

Volume = 2*1*5 = 10 cm³

✔️Dimension of cuboid 2:

L = 3 cm

W = 1 cm

H = 3 cm

Volume = L*W*H = 3*1*3

Volume = 9 cm³

✅Volume of the irregular figure = 10 + 9 = 19 cm³

Please tell me if these questions are like or unlike!! (Math)

Answers

Answer:

1. like

2.unlike

3.unlike

4.like

5. ......

6. ......

Step-by-step explanation:

Answer:

The number 5 and 6 is both unlike

I hope i it help's you


Help please please!!!!!

Answers

Answer:

x=28

Step-by-step explanation:

Look at attached image.

9) A car dealer offers a discount of 20% off the normal price of a car, for cash. Peter intends to buy a car which usually cost £6800. He intends to pay by cash. Work out how much he will pay.

10) A month ago, John weighed 97.5 kg. He now weighs 4.5% more. Work out how much John now weighs. Give your answer to 1 decimal place.

Answers

Answer:

1360

Step-by-step explanation:

If lines r and s are parallel, what would be the measurement of angle 6 if angle 1 was 2x+4 and angle 2 was 6x+8?

Answers

Answer: 134

Step-by-step explanation:

Angle 1 and 2 are supplementary and Angle 2 is congruent to Angle 6

Thus, first solve for x

8x+12=180

x = 21

Then solve for angle 2 which is congruent to angle 6

6(21) + 8 = 134

For every hour that Jill worked, she made $10

Write an equation to model how much money she can make.?\


HELP

Answers

Answer how many hours did she work?

Step-by-step explanation:

A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?

Answers

Answer:

15 rides

Step-by-step explanation:

29.50 - 7 = 22.50

22.50 / 1.50 = 15

21 I think!! Hope this is right

GIVING BRAINLIST. 6 dimes if what percent of a dollar

Answers

Answer:

60%

Step-by-step explanation:

6 dimes is 10x6 and a dollar would have 10 dimes so 60%

Which polynomial represents the difference below? 10x^8 + 11x^6 - 2x + 5 - (8x8 + 6x7 - 5)​

Answers

Answer:

[tex]2x^8-6x^7+11x^6-2x+10[/tex]

Step-by-step explanation:

To find: [tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)[/tex]

Solution:

Like terms refer to terms with same variables and same powers.

Two like terms can be added or subtracted.

Consider the following expression:

[tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)=10x^8+11x^6-2x+5-8x^8-6x^7+5\\=(10-8)x^8-6x^7+11x^6-2x+(5+5)\\=2x^8-6x^7+11x^6-2x+10[/tex]

(Here, like terms are added or subtracted)

Find the area of this figure around your answer to the nearest 100. use 3.14 to approximate 3.14 as pi

Answers

Answer:

Area = 49.12 ft²

Step-by-step explanation:

The area of the figure = area of triangle + area of half of a circle

= ½*bh + ½(πr²)

b = 6 ft

h = 8 ft

r = ½ of 8 ft = 4 ft

π = 3.14

Plug in the values

Area of the figure = ½*6*8 + ½(3.14*4²)

Area = 24 + 25.12

Area = 49.12 ft²

Answer:

49.12

Step-by-step explanation:

40 - 10 + 20

Don’t answer until when it’s one min later....there is a timer on my math probs so ya

Answers

Answer:

The answer is 50

Step-by-step explanation:

40-10=30

30+20=50

please could i have help with this i get 336m and its not one of the choices

Answers

It’s 30m,
18msq/m + 4m x 3
= 18 m + 12m
= 30 m

PLEASE HELP WITH THIS BEST ANSWER GETS BRAINLIEST

This is an example of a random sample: The Student Council wants to survey 7th grade students about their favorite lunch food. They write down the names of all 7th grade students and put their names in a hat, then draw names to collect the sample of students to be asked.

True

False

Answers

True............................
Other Questions
Populations that experience exponential growth have unlimited sources. A population can not continue to growexponentially indefinitely. Eventually, the population of a species will reach their limit. What curve will occur when apopulation has reached this limit and what are some possible reasons for this curve shape?PLSSS HELPPP does anyone know how to solve this? pls leave instructions How are Yellow dog contracts, Knights of Labor, Samuel Gompers, and theHomestead Strike related? Va roggg ex 1 2 3 !!! Which word is an adjective? neither several quietly bought Olive has a plastic container shaped like a cube to put slime in. She measures one side and finds that its 0.5 foot long. Use the formula V = s3 to determine how many cubic feet of slime will fit in her container. PLEASE HELP! A car can go from 0 m/s to 27 m/s in 4.5 seconds. If a net force of 6600 N acted on the car, what is its mass? (Hint: You must first calculate the acceleration then plug into Newtons second law.) Peter the Leprechaun has 526 gold bars that he arranges evenly into 24 pots. Each gold bar weighs 2.2 pounds. A) How many bars of gold are in each pot? Eber bought a new pair of baseball cleats for $64.95. The salestax is 5.5%. What is the total cost that Eber will pay? What was the main political issue at the center of the counter culture movement of the 1960s HELPPP PLEASEEEE FASTTTBoth parents in the example carry the dominant and therecessive alleles for a trait (heterozygous). What is theprobability of the offspring expressing the dominantphenotype? 2Drag each tile to the correct box.Match each term to the correct definition. If a director must cut scenes from Romeo and Juliet for performance, which scenes could be removed? How would their absence affect the play as a whole? Mrs.Smith has 3 boys to every 5 girls in her class. What percent of her class is boys?Please help me! Serious answers only please! If a scientist wants to make molecules move slower, what should they do? A. decrease their kinetic energy B. Transfer energy out of them C. Put them in a freezer D. All of the above I have a math test in an hour and a half. Its about algebraic word problems. Can someone help me. Im really struggling in maths and might fail simplificar y sumar12 + 7 + 10 =---- ---- --- please help im struggling and its due in 30 minutes According to this cartoon, why were theCopperheads a problem?o They would attack anyone who supported thewar.O They did not support women's war efforts.They would destroy the Union to end the war. 1. What does the narrator, Squeaky, value as her two greatest traits (qualities)? Provide at least one quote as support.