As in Section 6 6, Exercises 45 and 46, the p d f for the waiting time X until an event occurs often follows the exponential distribution, with the form g(x) e x for some positive value of , defined for x 0 Find the median waiting time for the following values of and compare with the expectation 1 ...

1 The cdf is The median solves G x 12 or 1 e 05 x 12 e 05 x 12 05 ...

As in Section 6.6, Exercises 45 and 46, the p.d.f. for the waiting time X until an

Question:

As in Section 6.6, Exercises 45 and 46, the p.d.f. for the waiting time X until an event occurs often follows the exponential distribution, with the form g(x) = λe-λx for some positive value of λ, defined for x ≥ 0. Find the median waiting time for the following values of ≥ and compare with the expectation.
1. λ = 0.5.
2. λ = 2.0.