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

also (area O O O O O O​

Answers

Answer:

slide A= 6

slide B= 8

perimeter= 36

Area = 80

Step-by-step explanation:

Answer:

slide A= 6

slide B= 8

perimeter= 36

Area = 80

Step-by-step explanation:

Which number produces an irrational number when multiplied by
1/3

Answers

Answer:

all of them 1/3 is irrational

Step-by-step explanation:

use elimination metho to solve the system of equations ​

Answers

Answer:

There are infinitely many solutions.

Step-by-step explanation:

3x + 2y = 7

-9x - 6y = -21

Now multiply the first equation by 3

3 × 3x + 2y = 7 ➡ 9x + 6y = 21 Now subtract second equation from first equation

9x + 6y - 9x - 6y = 21 - 21

0 = 0

The equation has infinitely many solutions meaning whatever value you write instead of x and y there will be solution.

f(x)=2x + 2
g(x)= x – 5
Find f(x) + g(x)

I need help understanding how to do a problem like this
Thank you

Answers

Answer:

3x - 3

Step-by-step explanation:

f(x) + g(x)

(2x + 2) + (x - 5)

3x - 3


Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 56
log 78
log 45
log 98

Answers

Answer:log 98

Step-by-step explanation:

For the quadratic function f(x) = x2 + 8x + 12 in standard form, find the following key features:
vertex
y-intercept
Roots x =
and x =
Axis of Symmetry x =

Answers

Answer:

vertex:(−4,−4)

y-intercept:(0,12)

roots x=−2

and x= -6

AOS:-4

Step-by-step explanation:

the price of a board game was reduced from $40 to $25. by what percentage was the price of the board game reduced?

Answers

15% - 40. -25 = 1500 percent take out the zero because they have zero value and your left with 15 which is 15%

Find the measure of 43.
43
77
<3 = [?]
Enter

Answers

Answer:

<3 = 77⁰

Step-by-step explanation:

Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

?=103°

Answer:

<3+77=180 co interior angle

<7=180-77=103°

Look at the picture.
Thank u!

Answers

Answer:

900 sq units

Step-by-step explanation:

the spilt in the rectangle add the number below to 32 then multiply the sum of that to 20, you'll get the answer. :D

I’m pretty sure the answer is 900 sq. Units

(Hope this helps!)

Given right triangle JKL, what is the value of cos(L)?
1. 5/13
2. 5/12
3. 12/13
4. 12/5

Answers

Answer:

A 5/13

Step-by-step explanation:

Just took the test

The value of Cos L in the given right triangle JKL, is 5/13

What is a Cosine of the angle?

The cosine of an angle is defined as the sine of the complementary angle.

The complementary angle equals the given angle subtracted from a right angle, 90°.

Also, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).

Given is a right triangle JKL, we need to find the value of cos(L),

Since, the cosine of an angle is the ratio of the base and hypotenuse,

So, firstly of we will find the value of the hypotenuse,

Using the Pythagoras theorem,

12²+5² = hypotenuse²

hypotenuse = √(12²+5²)

hypotenuse = √169

hypotenuse = 13

Therefore, Cos L = 5/13

Hence, the value of Cos L in the given right triangle JKL, is 5/13

Learn more about cosine of the angles, click;

https://brainly.com/question/29114352

#SPJ7

Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)​

Answers

9514 1404 393

Answer:

  w = -2 or 8 1/3

Step-by-step explanation:

Setting the two expressions equal makes a quadratic equation:

  -5 +0.6w = w(2.5 -0.3w)

  0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression

  3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients

  (3w -25)(w +2) = 0 . . . . . . . factor

We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.

  3w -25 = 0   ⇒   w = 25/3 = 8 1/3

  w +2 = 0   ⇒   w = -2

The values of w that make the two expressions equivalent are -2 and 8 1/3.

12(-5z - 4)
please help me

Answers

Answer:

-60z - 48

Step-by-step explanation:

Is your expression.

if you get it right and you are the first one than i will give you all stars and thanks and a crown but if you are just right then only the stars and the thanks

Answers

Answer:

Periodic Table

Step-by-step explanation:

? that should be it.

I don't know how to do this, please help

Answers

Answer:

m7=80º

m8=100º

Step-by-step explanation:

A polynomial is graphed. What could the equation of p?
P(c)=(x+3)(c+1)(2x+1)

Answers

Answer:

The answer is B.) p(x)=x(x−2)(2x−7)

Step-by-step explanation:

Khan academy

How to work out 66,253 divided by 317?

Answers

Answer:

It would be like this

Answer:

209

Step-by-step explanation:

This is the answer link: https://socratic.org/questions/how-do-you-divide-66-253-div-317  

Find the value of 2.
35°

(x + 95)°

Answers

Answer:

x = 25°

Step-by-step explanation:

The sum of the interior angles of a triangle = 180°

180° = 35° + x° + x + 95°

2x° = 50°

x = 25°

Data represented by quantities is called data.

Answers

Four types of data (nominal, ordinal, interval, and ratio) that represent values or observations that can be sorted into a category

Mario has 6 more marbles than Sandra. Let `s` represent the number of marbles that Sandra has. Write an expression that represents the number of marbles that Mario has.

Answers

Answer:

6+s

Step-by-step explanation:

six more marbles so add 6 to s

What does it mean to say that a data point has a residual of 0?
A. The point lies above the regression line.
B. The point lies directly on the regression line.
C. The predicted value for that point is 0.
D. The point falls at the origin.

Answers

Hi!!!

B. the point lies directly on the regression line.

Hope this helped!

Have a good day:)

The point lies directly on the regression line.

Option B is the correct answer.

What is a regression line?

A regression line is a straight line that represents the relationship between two variables in a scatter plot.

In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.

We have,

When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.

If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.

This can occur when the data point falls directly on the regression line, as in option B.

Thus,

The point lies directly on the regression line.

Learn more about regression lines here:

https://brainly.com/question/7656407

#SPJ7

PLEASE HELP THE TEACHER WONT

Answers

Answer:

i believe your answer is c

Step-by-step explanation:

13/25 is 52 percent so you click the one that has 52 squares shaded

Find y' for y = 7x-5 + 2x - 1
y'=

Answers

Answer:

9

Step-by-step explanation:

7x-5+2x-1=9x-6

d/dx (9x-6)=9

Mary, John and Sue are working on a large project. From past experience it is estimated that Mary would require 45 days to complete the project, John would require 50 days, and Sue would require 60 days. If they work together, what would be the estimated number of days required to complete this project?

Answers

About 52 days if u use the averagep

Help with algebra 2 i dont know how to do this

Answers

Answer:

I cannot see the question clearly. But I know how to do .

4
Which of the following is a function?
А
B
C
D

Answers

Answer:

B)

Step-by-step explanation:

A function is when every input has one output.

Easiest way is to do the "vertical line test" and "horizonal line test."

Basically you draw a vertical line and a horizontal line.

If either line passes through more than one point, then it is not a function.

The only one that passes them is B, the line.

Answer:

B

Step-by-step explanation:

A function is when every input has one output.

Easiest way is to do the "vertical line test" and "horizonal line test."

Basically you draw a vertical line and a horizontal line.

If either line passes through more than one point, then it is not a function.

The only one that passes them is B, the line.

Help ASAP ASAP

Help asappp

Answers

Answer:

-3.9

Step-by-step explanation:

y/0.3 - 1.4= -14.4
•0.3. •0.3
y-1.4= -4.32
+1.4= +1.4
y= -2.92

The period of y = sinx/4 is

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{4} =2 \pi\\x=2 \pi \times 4=8 \pi[/tex]

Human capital deepening refers to increases in a country’s population, including both births and immigration.
True

False

Answers

Answer:

Based on what I researched that would be False.

Step-by-step explanation:

Human capital deepening is the increase of capital workers, it also includes skills or higher education.

4 less tha the product of a 5 and a number

Answers

Answer:

5+n(-4)

Step-by-step explanation:

this is the equation if that helps??

Answer:

5*N-4 five times a number n minus four

Sydney's car used 1/ 3/5
gallons to travel 6666 miles. How many miles can the car go on one gallon of gas?

Answers

Answer:

Sydney car can go 44.4 miles on gallon

Other Questions
Tommy's parents died in a plane crash and he went to live with his guardian, Aunt Rose. Rose had a very small house and did not have a separate bedroom and bath for 12-year-old Tommy. She and Tommy decided to use some of his inheritance to pay for an addition to the house. He had some shares of stock transferred into Rose's name so that she could sell them when the money was due to be paid. The stock transfers are: please help me with this question help pleaseAccording to the video, what part did technology play in the Cuban Missile Crisis?It allowed the US to take down Soviet air bases in Cuba.It made it possible for the US to identify missile sites in Cuba.It helped the US prepare troops for a possible invasion of Cuba.It helped the US communicate with spies who were stationed in Cuba. Diamonds have a density of 3.26 g/mL. What would be the mass of a diamond with a volumeof 0.350 mL? the volume of a box is 400 cubic meters. The width of the box is two meters and it's length is 10 more than its height, find the length and height of the box. please help asap! What is the simplest form of the radical expression?2+5/2-5 PLEASE HELP!! DUE SOON!!Polygon A is a square. Polygon B has 6 more sides than polygon A. What type of polygon is B?A. decagonB. hexagonC. octagonD. pentagon Which of the following is the coefficient in the algebraic expression 2x+4?. B. 2C. 4D. A small business company is considering updating the current production line. There are two plans. For plan A, the fixed cost will be $40,000 and the variable cost will be $27 per unit after the update. For plan B, the fixed costs will be $54,000 and the variable cost will be $26 per unit after the update. Please answer the following questions: (a) Suppose the selling price is $35, what is the break-even volume for each plan Bonjour Vous pouvez m aider sur les contre et le pour pour le tatouage et le piercing si ton ami veux se faire tatouer ou piercing Which statement best describes the effect of parallelism in a speech? It helps the audience remember a key word or phrase. It draws attention to a point by repeating a fact over and over. It helps engage the audience by adding rhythm and balance. It encourages the listener to think about the point the speaker is making. Melodic Intervals in G position 1.Write the names of the notes in the boxes above the staffs.2.Write the names of the intervals in the boxes below the staffs. Some iPhones produced within a time period have faulty battery issues. Thirty percent of such iPhones will need battery service while under warranty. A family owns 5 iPhones produced within the time frame of potential faulty production. (a) What is the probability that exactly two iPhones will end up being serviced under warranty? (b) What is the probability that at least two iPhones will end up being serviced under warranty? (c) What is the expected number of iPhones in the family that require service? (d) What is the standard deviation of the number of iPhones in the family that requires service? Question: Write a word problem that involves terms and coefficients. Discuss how you would go about solving this problem. What are the requirements for a doctoral degree in psychology, and what career opportunities are available tostudents with this degree? define regulation economics. I Need three pictures of flowers that have more than 2 colors and have black in their background or on them, ty! Answer these correctly Ill give brainalist + 10 points Supplementary angles, please help! 1,2, and 3 On Old McDonald's Farm, there are 16 cows and 4 sheep in the first field. If this ratio is proportional, and there are 48 total sheep on the farm, how many cows does Old McDonald have? *