
Random Variables
Suppose a life insurance company sells a $50,000, fiveyear term policy to a twentyfiveyear old woman. at the beginning of each year the woman is alive, the company collects a premium of $P. the probability that the woman dies and the company pays the $50,000, is given in the below. So, for example, in Year 3, the company loses$50,000  $ P with probability 0.00054 and gains $P with probability 1 0.00054 = 0.99946. If the company expects to make $1000 on this policy, what should P be?
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Year Probability
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1 0.00051
2 0.00052
3 0.00054
4 0.00056
5 0.00059


Re: Random Variables
compute...
[A]over the full 5 years, what is the expected premium income in terms of P?
[B] over the full 5 years, what is the expected death payment?
Find the value of p that makes [A][B] = 1000.