Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.

Answers

Answer 1

Answer:

The expected value of this policy to the insurance company is $206.97

Step-by-step explanation:

Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290

Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710

Expected Value E(X) = ∑xp(x)

E(X) = $290*(0.999563) + (-$189,710* 0.000437)

E(X) = $289.87327 - $82.90327

E(X) = $206.97

Thus, the expected value of this policy to the insurance company is $206.97


Related Questions

Rewrite the expression in the form a^n

Answers

Answer:

a7/5

Step-by-step explanation:

A line passes through the points (8, 1) and (6, 7). What is the slope?



Answers

Answer:

-3

Step-by-step explanation:

7-1=6

6-8=-2

A line connects the points (8, 1) and (6, 7). The angle is -3.

What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.

Therefore,

Slope (m) = ΔY/ΔX

= 3/-1

= -3

The slope =  -3

θ = arctan(ΔY/ΔX) + 180°

=1 08.43494882292°

ΔX = 6 – 8 = -2

ΔY = 7 – 1 = 6

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = -3x + 25

When x = 0, y = 25

When y = 0, x = 8.3333333333333

Hence,  A line connects the points (8, 1) and (6, 7). The angle is -3.

To learn more about slope, refer to:

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How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?

Answers

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

Write the next three terms: 7,10,13,16,

Answers

Answer:

7,10,13,16,19,21,24,27

Step-by-step explanation:

Add 3 every time

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

A game uses a single 6-sided die.

To play the game, the die is rolled one time, with the following results:

Even number = lose $10
1 or 3 = win $3
5 = win $8

What is the expected value of the game?

Answers

45$ since there are 3 even numbers so 3x10= 30 and 1&3= 6 1 five which is 8. Now we add 30+6+8

87.039 as a mixed number

Answers

Answer:

87   39/1000

Step-by-step explanation:

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?

Answers

Answer:

y=4x-10

Step-by-step explanation:

PLEASE HELP I SUCK AT MATH

Answers

The answer to the question is B. [tex]y=4x[/tex]

[tex]4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20[/tex]

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour

Answers

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

Could i get any help here?

Answers

Answer:

You will need to figure out how much it is going up by

Step-by-step explanation:

To visit her grandmother, Jessica takes a horse 3.31 kilometers and a motorcycle 1 kilometer.
How many kilometers is Jessica's journey in total?

Answers

Total journey of Jessica is 4.31 kilometer.

To visit her grandmother, Jessica takes a horse 3.31 kilometer and a motorcycle 1 kilometer.

What is Total distance?

The actual distance between the places from which the material is transported to the destination place is called Total distance.

Total journey of Jessica = 3.31 + 1

                                     =4.31 kilometer

So total journey travel by Jessica is 4.31 kilometer.

Learn more about the Total distance visit:

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ASAP Evaluate the expression: 20.16(0.375)

Answers

Answer:

7.56

Step-by-step explanation:

Just multiply

20.16 times 0.375

7.56

Answer:

Hii

The answer is 7.56.

Step-by-step explanation:

you multiply the value outside of the bracket with the value inside of the bracket.

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6

Answers

Answer: y = x/4 + 2

Y equals one fourth x plus two.

Step-by-step explanation:

There seems to be a typo on answer choice c.

Slope intercept form is y= mx + b

m is the slope. b is the y-intercept.

The y-intercept is given here in the coordinate (0,2) It is +2

Slope is rise/run.

Rise: Difference in given y-values is 4-2 = 2.

Run: Difference in x-values is 8-0=8.

So the slope is 2/8 = 1/4

The equation is y = 1/4 x + 2

Captain America's circular shield has a diameter of 76.2 centimetres. What is the area of his shield?

Answers

Answer:

Its area is 370 square centimeters.

Step-by-step explanation:

I need help desperately

Answers

Answer:

B is the answer

Step-by-step explanation:

Look at where the decimal is placed and the value of the numbers

will give brainliest!!!! The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number 859,463? *

Answers

Answer:

It's 10 times larger.

Step-by-step explanation:

If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.

What is the slope of a line passing
through points (-6, 3) and (-3, -1)?

Answers

Answer:

-4/3

Step-by-step explanation:

you do change in y over change in x which is -1-3 over -3-(-6)

when you do the calculations you get -4/3

A number decreased by 22 is 44. Which equation can be used to solve this problem

Answers

Answer:

44+22=x or x-22=44

Step-by-step explanation:

X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.

Hope this helps please mark brainliest :D

Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *

The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.

The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.

The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.

Answers

Answer:

Your answer would be The third option or C

Step-by-step explanation:

Answer:

c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.

Step-by-step explanation:

math answer

Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ

Answers

Answer:

Stands Steakhouse has 210 servers.

Step-by-step explanation:

5 servers to 1 cook.

5/1 = x/42

x = 5 * 42 = 210

You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

Since, after making the diagram of this situation,

We get two triangles ABC and CED,

In which AB = 90 feet, BC = 36 feet and CE = 100 feet,

Now,

       ( Vertically opposite angles )

        ( Right angles )

By AA similarity postulate,

By the property of similar triangles,

Since, point D represents the lighthouse.

Hence, the distance from point E to the lighthouse = 250 feet

Please help with both and leave a small explanation! I wanna double check my answers!

Answers

Answer:

(1)Hoops shadow would be 6 ft (2) model would be 3 cms

Step-by-step explanation:

9 / 3 = 3   3 x 2 = 6 ft

15 / 5 =3    3 x 1 = 3 cm

Please help fast!! Is this a function?

Answers

Answer:

It's not a function..

Step-by-step explanation:

Just take a look at it.

what did u studied about functions before doing this type of problem in math?

Does it look like it? no.

Answer:

That looks very hard .. sorry :(

Step-by-step explanation:

cooper's jump rope is for 4 2/5. luke's jump rope is 4 3/4 ft long. whose jump rope is longer? how much longer? show your work

Answers

Answer:

Juke's jump; by 0.35 feet

Step-by-step explanation:

Given that,

Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.

Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.

Cooper's jump is :

[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]

Juke's jump is

[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]

So, it is clear that Juke's jump is longer than Cooper's jump.

Juke's jump - Cooper's jump = 4.75 - 4.4

= 0.35 feet

or

So, Juke's jump is 375 feet longer.

PLZ HELP ME?!?!?!?!?!?!?!?!?!?!?!!!???!?!?!?!?

At the electronics store, James bought a headset that was originally priced at $90 for $60. What was the percent of change in the headset's price?

Answers

Answer:

30%

Step-by-step explanation:

I need help with whole thing teacher is putting pressure on me and I have a 10 in her class

Answers

Answer:

So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.

So when it says X -4

                          Y 5

Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)

Step-by-step explanation:

I really hope this helps you its hard to describe over type:(

Good luck:))

24% of 72 is what number? (will mark brainliest for full explanation)

Answers

Answer:

300

Step-by-step explanation:

Answer:

17.28

Step-by-step explanation:

Multiply 72 by .24, .24 being 24% because it is 24 out of 100.

Which is true of the standard form of the equation of the line graphed the value of a can be

Answers

Answer:

Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?

Step-by-step explanation:

answer-4p - 7 = 13

which set of ordered pairs does not show y as a function of x​

Answers

Answer:

b does represent a function

Answer:

c

Step-by-step explanation:

a funtion cannot have and x coordinate repeatin g. there fore, because 2 repeats in c, c is the answer

Helpppppppppppppppp it is due now

Answers

the answer is : 120


you add 15+45 then subtract by 180
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