A person born in 1964 is equally likely to live for any (not necessarily integer) number of years between 1 and 100. On his 50th anniversary this year, John wants to calculate the probability that he will live beyond 2044. Calculate this probability. In other words, if T is a random variable whose (continuous) distribution is uniform on [1,100], find the conditional probability P(T >80|T>50). Show all work.