Question

The probability that a 50-year old man will be alive at 60 is 0.83 and the probability that a 45-year old woman will be alive at 55 is 0.97. What is the probability that a man who is 50 and his wife who is 45 will both be alive after 10 years?

Answer 1

Answer:

0.8051

Step-by-step explanation:

Hi,

Let M be the event that a 50 year old man will be alive at 60

Given P(M) = 0.83

Let W be the event that a 45-year old woman will be alive at 55

Given P(W) = 0.97

Since , the number of years a man lives is independent of the

number of years a woman lives (Ignoring abnormal conditions),

P(M ∩ W) = P(M)P(W) ,since both M and W are independent

events.

Probability that a man who is 50 and his wife who is 45 will both

be alive after 10 years = P(M ∩ W)

= P(M)P(W)

= 0.83* 0.97 = 0.8051

Hope, it helps !