The time between patient's arriving (90 values) is

1 1 1 1 1 1 (6)

2 2 2 2 2 2 (6)

3 3 3 3 3 3 3 (7)

4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 (18)

5 5 5 5 5 5 5 5 5 5 5 5 5 (13)

6 6 6 6 6 6 6 6 6 6 6 6 6 (13)

7 7 7 7 7 7 7 (7)

8 8 8 8 8 8 8 8 (8)

9 9 9 9 9 9 (6)

10 10 10 10 (4)

18 (1)

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

Thank you!