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aleksklad [387]
3 years ago
7

a 28 year old man pays $181 for a one year life insurance policy with civerage of $150,000. If the probability that he will leiv

e through a year is .9994, what is the expected value for the insurance policy?
Mathematics
2 answers:
Xelga [282]3 years ago
6 0

Answer:

The company earns $91 through the year.

Step-by-step explanation:

We are given the following information in the question:

Here, the insurance premium paid is $181.

The probability of survival = 0.9994.

The probability of death = 1 - Probability of survival = 1 - 0.9994 = 0.0006

Thus, we can write,

The company earns $181 with probability 0.9994 and pays out ($150000-$181) = $149,819 with probability .006.

The expected value of the policy or the expected earning for the company can be calculated in the following manner:

\text{Expected value of insurance} = \\(181 \times 0.9994) +((-149819) \times 0.0006) = 91

Thus, the company earns $91 through the year.

vampirchik [111]3 years ago
4 0
Hjhhctdgdnrhfzjf gfjdbdjdhc fndndjxb gecko.
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nataly862011 [7]
<h2>1) B</h2>

<h2>2) C</h2>

<h2>3) A</h2>

<h3>do you need an explanation?</h3>
4 0
2 years ago
An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 51% of passengers have no c
Orlov [11]

Answer:

The average revenue per passenger is about $13.85

μ = $13.85

The corresponding standard deviation is $14.51

σ = $14.51

The airline should expect revenue of $1,662 with a standard deviation of $14.51 for a flight of 120 passengers.

Expected revenue = $1,662 ± 14.51

Step-by-step explanation:

An airline charges the following baggage fees:

$25 for the first bag and $35 for the second

Suppose 51% of passengers have no checked luggage,

P(0) = 0.51

33% have one piece of checked luggage and 16% have two pieces.

P(1) = 0.33

P(2) = 0.16

a. Build a probability model, compute the average revenue per passenger, and compute the corresponding standard deviation.

The average revenue per passenger is given by

μ = 0×P(0) + 25×P(1) + 35×P(2)

μ = 0×0.51 + 25×0.33 + 35×0.16

μ = 0 + 8.25 + 5.6

μ = $13.85

Therefore, the average revenue per passenger is about $13.85

The corresponding standard deviation is given by

σ = √σ²

Where σ² is the variance and is given by

σ² = (0 - 13.85)²×0.51 + (25 - 13.85)²×0.33 + (35 - 13.85)²×0.16

σ² = 97.83 + 41.03 + 71.57

σ² = 210.43

So,

σ = √210.43

σ = $14.51

Therefore, the corresponding standard deviation is $14.51

b. About how much revenue should the airline expect for a flight of 120 passengers? With what standard deviation?

For 120 passengers,

Expected revenue = 120×$13.85

Expected revenue = $1,662 ± 14.51

Therefore, the airline should expect revenue of $1,662 with a standard deviation of $14.51 for a flight of 120 passengers.

6 0
3 years ago
Plz answer. What is the sum? 3x^2-2x-1/x-5 + -2x^2+x-5/x-5
IrinaVladis [17]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
HELP ASAP
Sedbober [7]

Answer:

<h3>Solution (4, -12)</h3>

<em>None of the listed choices are a solution</em>

Step-by-step explanation:

y = 4x - 28

y = 1.5x - 18

Set the equations equal since both equal y

4x - 28 = 1.5x - 18

Subtract 1.5x from both sides

2.5x - 28 = -18

Add 28 to both sides

2.5x = 10

Divide both sides by 2.5

x = 4

---------------------

use x= 4 in either equation

y = 4x - 28

y = 4(4) - 28

y = 16 - 28

y = -12

--------------------

Solution (4, -12)

3 0
3 years ago
Adrian spent $19.35 on school supplies he bought two poster boards for $2.25 each he spent the remaining amount on notebooks tha
dusya [7]
9 because when you subtract the amount of poster money from the total ($19.35), you get $14.85. $14.85 divided by $1.65 is 9, which means he bought 9 notebooks.
4 0
3 years ago
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