A life insurance company sells a $150,000 one year term life insurance policy to a 21-year old female for $150. The probability that the female survives the year is .999724. Find the expected value for the insurance company.

$149,958.6

Step-by-step explanation:

The Numerical term to describe that how likely a even could occur or how likely a situation comes true.

Expected value of the insurance is the calculated by multiplying the insurance value with related probability.

Value of insurance = $150,000

Probability = 0.999724

Expected Value = 0.999724 x $150,000 = $149,958.6

EV = $108.56

The expected value for the insurance company is $108.56

Step-by-step explanation:

Expected value is used by insurance companies to weigh the risk and the benefits on an insurance policy.

EV = P×I - P'×R

Where

P = probability of not dying = 0.999724

P' = probability of dying = (1-0.999724)

I = Investment = $150

R = return = $150,000

EV = 0.999724×150 - (1-0.999724)×150000

EV = $108.5586

EV = $108.56

The expected value for the insurance company is $108.56

answer: 10 turtles

step-by-step explanation: as turtles have four legs so 4.10=40 therefore birds are 4 which sue counted

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt