# Question: a company that sells annuities must face the annual payout...

###### Question details

A
company that sells annuities must face the annual payout on the
probability distribution of life of participants in the plan.
Suppose probabilities distribution of the lifetimes of the
participants is approximately a normal distribution with a mean of
68 years and a standard deviation of 3.5 years. If a participant
was randomly selected what is the probability that participant
would die between the age of 70 and 75?