A mathematics student worked part time in the training room

A mathematics student worked part time in the training room in the physical education building. This sudent recorded the number of students coming in to be taped or for treatment of other injuries during each half hour she worked.

The time between students arriving for taping or treatment is : 6 9 6 4 4 4 4 4 10 9 6 5 18 8 7 7 3 10 8 4 4 4 2 3 4 5 7 8 4 5 7 9 5 7 3 5 5 4 5 6 2 1 1 8 9 7 7 4 5 10 5 6 5 4 4 8 9 5 9 5 8 4 1 6 6 6 4 2 6 6 6 3 1 2 3 8 1 2 3 4 6 8 1 3 10 5 2 6 4

If X is an exponential random variable with mean \"theta=5, \" compare the probability P( \"X>2)\" with the proportion of times that are greater than 2 from the data.

Solution