Suppose again that the examination considered in Exercise 12 is taken by five students. Determine the probability that no two students will complete the examination within 10 minutes of each other.
Exercise 12
Suppose that a certain examination is to be taken by five students independently of one another, and that the number of minutes required by any particular student to complete the examination has an exponential distribution for which the mean is 80. Suppose that the examination begins at 9:00 A.M. Determine the probability that at least one of the students will complete the examination before 9:40 A.M.