An insurance policy sells for ​$800. Based on past​ data, an average of 1 in 50 policyholders will file a ​$15,000 ​claim, an average of 1 in 100 policyholders will file a
​$30,000 ​claim, and an average of 1 in 400 policyholders will file ​a $70,000 claim. Find the expected value​ (to the​ company) per policy sold. If the company sells 20,000​policies, what is the expected profit or​ loss?

The expected value is ​$____
The profit is $_____

Answers

Answer 1

Answer:

The expected value is $375

The profit is $6,500,000

Step-by-step explanation:

Amount of claim:

15000, 30000, 70000

Probability:

1/100, 1/200, 1/400

So the expected value of the claim is:

15000 × (1/100) + 30000 × (1/200) + 70000 × (1/400) = 475

Given that an insurance policy sells for $800 and the expected value of the claim is $475.

So, the expected value of the companies profit is = $(800 – 475) = $325.

If the company sells 20,000 policies then the expected profit is = $(20000 × 325) = $6,500,000

Thus, The expected value (to the company) per policy sold is $375 and the expected profit is $6,500,000.

-TheUnknownScientist 72


Related Questions

Four friends are order pizza from a take away.
The amount of pizza each person eats is shown as a fraction below
Matthew eats 0.8of a pizza
Lily eats 3/4of a pizza
George eats 77%opizzas f a pizza
Sam eats 82%of a pizza
Which person eats the most pizza?
You must show your workings ​

Answers

Answer:

Sam ate the most pizza.

Step-by-step explanation:

Mathew: 0.8 is equal to 80%

To get a percentage, you need to move the decimal two places to the right.

Lily: 3/4 = 75%

George: 77%

Sam: 82%

Help picture below problem 16

Answers

Concept :-

We have studied the law which states that the sum of all angles in a triangle is 180°, this is known as angle sum property of a triangle. We can solve this question based on that property.

Solution :-

Let us assume the missing angle to be x,

Therefore,

→ 66° + 71° + x = 180° ( Angle sum property of a triangle )

→ 137° + x = 180°

→ x = 180° - 137°

→ x = 43°

Thus, the measure of the missing angle is 43°.

Hope that helps :)

2 points
Daria earns h dollars per hour at the grocery store. She works 9 hours per week. She writes the expression 9 • h • 4 to represent how much
money she earns in a four-week month. Daria's boss writes the expression 36h. Which person's expression tells you how many hours Daria
works per four-week month? EXPLAIN YOUR REASONING.

Answers

Answer:

Daria's boss expression

Step-by-step explanation:

Her boss expression because it's asking about the hours worked per four week month. Daria's expression represents the 9 hours she works per week for the 4 weeks in the month.

Her boss expression represents the total number of hours she works altogether in all the four weeks in the month.

The area of South America is approximately 1.78 × 107 square kilometers. Its population is approximately 3.50 × 108 people. What is the approximate population density (people per square kilometer) of South America? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
A: 19.66 people/km^2

B: 1.97 × 10^15 people/km2

C: 5.09 people/km^2

D: 1.97 × 10^1 people/km^2

Answers

Answer: 19.66 people/km^2, A

Step-by-step explanation:

The population density will be equal to 82.96 people/km2.

The correct option is B.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

here, we have,

Given that the area is 1.78 × 10⁷ km² with 3.50 × 10^8 people.

The population density will be calculated as below:-

Density = people / km² = ( 3.50 × 10^8 ) / ( 1.78 x 10⁷ )

Density =19.66

Density = 19.66 people/km²

Therefore, the population density will be equal to 82.96 people/km2. The correct option is A.

To know more about an expression follow:

brainly.com/question/9699102

#SPJ2

A researcher is interested in determining whether teens who transfer schools after their freshman year in high school demonstrate
more behavior problems on the Achenbach Youth Self Report test with a population mean of 50 and a population standard deviation of
10. The researcher has a sample of 100 teens with a mean score of 59. What is your obtained z?

Answers

The z-score of the number of teens that transfered schools is the standard score

The obtained value of z is 5

How to determine the value of z?

The given parameters are:

Population mean, μ = 50Population standard deviation, σ = 10Sample, x = 100Sample mean = 59

The z-value is calculated using:

z = (x - μ)/σ

Substitute known values in the above formula

z = (100 - 50)/10

Evaluate the difference

z = 50/10

Evaluate the quotient

z = 5

Hence, the obtained value of z is 5

Read more about z-scores at:

https://brainly.com/question/25638875

help me please. either one is fine.

Answers

7)
95+(3x+23)+(7x-4)+(9x-6)+90 = (5-2) x 180
x = 18

9)
41+(3x+6)+(7x-11)+62+(4x+7)+(6x-5) = 360
x = 13


The ratio of blue jays to Robin's was 6 to 7. If there were 84 Robins, how many blue jays were there?​

Answers

Answer:

72

Step-by-step explanation:

Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.

6 to 7 can also be express as 6/7

Thus, we can set up a proportion

6/7 = x/84

Now, we have to solve for x

x = 72

Hence, if there were 84 robin there would be 72 blue jays.

~lenvy~

The value of x is 6. What is the value of y ?

Answers

Answer: y = 4.5

scale factor = 4/3

the figure represent 7/9 0f a full circle Find the measure of the marked central angle

Answers

Step-by-step explanation:

tbh I don't know I need help with that too please like this comment

The measure of the marked central angle of the sector will be 280°.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The figure addresses 7/9 of a complete circle. Then the arc length of the circle will be given as,

Arc / P = 7/9

Simplify the equation, then we have

(θ/2π) 2πr / 2πr = 7/9

θ/2π = 7/9

θ = 14π / 9

θ = 280°

The central angle of the sector will be 280°.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

The mean of 5 different numbers is 6 and the mean of 4 different
numbers is 15. Find the mean of 9 numbers.​ Please answer fast as possible.​

Answers

Total number of the first five numbers=5*6=30
Total number of the second four numbers=4*15=60
The total number of the 9 numbers=30+60=90
Mean of the 9 numbers=90/9=10

Help! 10 Points !!
A line passes through the point (-8. 5) and has a slope of -5/4

Answers

Slope point form for the equation of a straight line

=m(x-x1) + y1

y= 5/4 (x-8) +5

y= 5/4x - 10 + 5

y= 5/4x - 5

Find angles B, E, C, and D, given that angle m A=140° and m F=130°.
*Picture is not drawn to scale*

Answers

Answer:

Angle B=40 degrees

Angle C= 90 degrees

Angle E=50 degrees

Please Mark Brainliest

these answer- I am sure they ar correct

need help please again

Answers

Answer:

7 hours

Step-by-step explanation:

d=rt

d is distance

r is speed

t is time

here we need to find (t)

so d/r is t

so t is 455/65

t is 7

What are levels of mathematical acquisition in pre-junior

Answers

Answer: Number Sense – Understanding Quantity.

Representation – Using Symbols and Words to Represent Numbers.

Shapes and Spatial Relationships (Geometry)

Measurement – Comparing and Communicating about size.

Patterns – Recognizing and Making Patterns.

Problem Solving.

Step-by-step explanation: boom!

Need help with this geometric question ASAP, Thank you

Answers

Answer: 15

Step-by-step explanation:

When do you say that a given quadrilateral is a parallelogram?

Answers

Answer:

Theorem : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.

Step-by-step explanation:

hope that helps

The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.


A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 7 millimeters.

Recall the formulas V = B h and V = four-thirds pi r cubed

Answers

Answer:

351.68 millimeters for the cylinder and 8 23/75 millimeters for the half circle.

Step-by-step explanation:

Volume Cylinder = 3.14(16)(7) = 351.68

Volume Half sphere = 2/3(3.14)(4) = 8 23/75

If you want both of them together just add up the two numbers.

Answer:

351.68 millimeters cylinder

8 23/75 millimeters half circle

Step-by-step explanation:

What is the solution to the system of equation s x+y=4. X=y-1

Answers

Answer:

x = 3/2

y = 5/2

Step-by-step explanation:

x + y = 4

x = y - 1


substitute y - 1 in for x in the first equation, to find y


y - 1 + y = 4

2y - 1 = 4


add 1 on both sides

2y - 1 = 4

+1 +1

2y = 5


divide by 2 on both sides

2y/2 = 5/2

y = 5/2


subtitute y in for the second equation, to find x

x = 5/2 - 1

x = 5/2 - 2/2

x = 3/2


so x = 3/2 and y = 5/2

to double check, plug x and y in the first equation

3/2 + 5/2 = 4

8/2 = 4

4 = 4

Can you be serious and more understanding about the home work

Answers

Answer:

yes

Step-by-step explanation:

is there a specific question?

Answer: All children should be doing homework. But the amount and quality should change." His basic prescription.

Step-by-step explanation:

evaluate the expression 4 3x when x is 2

Answers

4 times 3(2) = 24
24 would be the answer

PLEASE HELP PLEASE HELP

Answers

36 cuz formula for area is length times the width. 4 x 9 = 36

Find the surface area of the cube in square feet.

Answers

Answer:

The answer is 2/3 or 0.67 square foot.

Step-by-step explanation:

Given;Length (l) = 1/3 ftTo Find;Surface area of cubeFormula;Area = 6l²

Now,

A = 6l²

A = 6 × (1/3)² ft

A = 6 × 1/9 ft

A = 6/9 ft

A = 2/3 square foot

Thus, The surface area of cube is 2/3 or 0.67 square foot.

The population of a city increased from 21,400 to 27,700 between 2007 and 2016. Find the change
of population per year if we assume the change was constant from 2007 and 2016.

Answers

Answer:

700

Step-by-step explanation:

2016 - 2007 = 9

27,700 - 21,400 = 6300

6300 / 9 = 700.

the table of value shows a linear relationship

Answers

Answer:

I believe your answer is A

Step-by-step explanation:

Rise is over run, the run (x) is increasing by five but, the rise (y) is decreasing by 8 so the answer would be -8/5

Hope this helps! :)


Someone pls

.
A
A
A
A
A
A
S

Answers

Answer:

7

Step-by-step explanation:

Degree of a polynomial is a variable's highest exponent

In this expression the degree is 7

Answer:

7

Step-by-step explanation:

If you used

P.E.M.D.A.S

Brainly please I worked so hard for this answer

True or False: In an exponential regression, the data points tend to increase in one direction and flatten out in the other direction.

Answers

Answer:

T

Step-by-step explanation:

The regression line is flat when there is no ability to predict whatsoever. The regression line is sloped at an angle when there is a relationship. The extent to which the regression line is sloped, however, represents the degree to which we are able to predict the y scores with the x scores

A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
blue?

Answers

Answer:

1/2

Step-by-step explanation:

There are :-

⇒ 2 red marbles

⇒ 7 blue marbles

⇒ 5 green marbles

Probability (Blue)

= No. of blue marbles / No. of total marbles= 7 / (2 + 7 + 5)= 7/14= 1/2

write THREE equivalent fractions for the following fractions:

25/50 = ___ = ___ =____​

Answers

Answer:

25/50 = 5/10 = 1/2

Step-by-step explanation:

I hope it will be helpful

Answer:

25/50 = 5/10 = 1/2

Hooe this helps you :)

what is the formula for the volume of a sphere with radius r = 5?

Answers

Answer:

  V = (4/3)π·5³ = 500π/3

Step-by-step explanation:

The formula for the volume of any sphere as a function of its radius is ...

  V = (4/3)π·r³

When the sphere has a radius of 5, we replace r in the formula with 5. The formula for the volume of a sphere with radius 5 is ...

  V = (4/3)π·5³

__

When that is evaluated, the volume is found to be ...

  V = 500π/3 ≈ 523.599 . . . cubic units

Find P (Freshman(Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 4 8
Sophomore 5 7 12
Junior 2 3 5
Senior 1
4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.

Answers

Answer:

[tex]\sf \dfrac29[/tex]

Step-by-step explanation:

From the table:

Total number of Girls = 18Total number of students = 30Total number of Girls who are Freshman = 4

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Girl)=\dfrac{18}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Girl)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Girl)& = \sf\dfrac{P(Freshman \cap Girl)}{P(Girl)}\\\\ & = \sf \dfrac{4}{30} \div \dfrac{18}{30}\\\\ & \sf=\dfrac{4}{30} \times \dfrac{30}{18}\\\\ & = \sf \dfrac29\end{aligned}[/tex]

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