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fenix001 [56]
2 years ago
13

In order to set premiums at profitable levels, insurance companies must estimate how much they will have to pay in claims on car

s of each make and model, based on the value of the car and how much damage it sustains in accidents. Let C be a random variable that represents the cost of claims on a randomly selected car of one model. The probability distribution of C is given below.
C $0 $500 $1000 $2,000
P(C) 0.60 0.05 0.13 0.22
1. The expected value of C is:____.
a. $155
b. $595
c. $875
d. $645
e. $495
2. Which of the following is the best interpretation of the expected value E(C)?
a) If the company insures 10 cars of this model, they know they will incur 10xE(C) in costs.
b) The company must insure at least E(C) of these cars to make a profit.
c) If the company insures a large number of these cars, they can expect the variability in cost per car to average approximately E(C).
d) The maximum cost to the company for insuring this car model is E(C) per car.
e) If the company insures a large number of these cars, they can expect the average cost per car to be approximately E(C).
Mathematics
1 answer:
Inessa [10]2 years ago
7 0

Answer:

$595

e) If the company insures a large number of these cars, they can expect the average cost per car to be approximately E(C).

Step-by-step explanation:

Given the distribution :

C $0 $500 $1000 $2,000

P(C) 0.60 0.05 0.13 0.22

Expected probability : E(C)

Σ[C * P(C)] = (0*0.60) + (500*0.05) + (1000*0.13) + (2000*0.22) = $595

Since the expected value could be interpreted as the average value of a random variable over a large Number of experiment or trials

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What is the area of this figure? Round to the tenth if necessary.
Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

a=\pi r^2/2

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

a=lw

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

32/2=16

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

\pi 16^2/2=401.92

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

14*32=448.

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

401.92+448

=849.92

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0
2 years ago
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They have different masses
5 0
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charle [14.2K]

Answer:

the warmest is wilmington

Step-by-step explanation:

it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives

8 0
3 years ago
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Write 0.44 as a percent and as a reduced fraction.
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44% 11/25 are both the answers
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x=z+3

x=overall answer

z=Nikki's height



3 0
3 years ago
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