A28 year old man pays $181 for a one year life insurance policy with civerage of $150,000. if the probability that he will leive through a year is .9994, what is the expected value for the insurance policy?

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:

Thus, the company earns $91 through the year.

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18