Question

Given an exponential distribution with lambda equals 21 comma λ=21, what is the probability that the arrival time is a. less than Upper X equals 0.2 question mark X=0.2? b. greater than Upper X equals 0.2 question mark X=0.2? c. between Upper X equals 0.2 X=0.2 and Upper X equals 0.3 question mark X=0.3? d. less than Upper X equals 0.2 X=0.2 or greater than Upper X equals 0.3 question mark X=0.3?

Answer 1

The cumulative distribution function for exponential distribution is given by,

Where,

a)

b)

using complement rule,

c)

For inside interval probability

d)

For outside interval probability,