According to various studies, the probability of losing space shuttle is greater than 0. Suppose that this probability of launching shuttle, and having it return safely is p. Also suppose that individual shuttle launches are independent, the probability of success for the mission N doesn't depend upon whether N-1 was successful
a) Determine the expression for the probability that 1 shuttle is lost in 10 flights?
b) Determine the expression for the probability that 2 shuttle is lost in N flights?
c) Some studies have determined p to be in the range of .97 -.99. If we suppose p=.98, determine the probability of 50 successful launches? (note: there have been >100 launches over the life of shuttle program)