Problem 8-12 The time between accidents at a congested intersectionhas an exponential distribution with unknown parameter , which mayassume values of (1) 1/hour, (2) 3/hour, or (3) 5/hour. Completethe following for each of these levels.

(a) Determine the probability that an accident will happen within1.5 hours.

a. lambda=1/hour probability=
b. lambda=3/hour probability=
c. lambda=5/hour probability=

(b) Find the expected time between accidents.

a. lambda=1/hour expectation=
b. lambda=3/hour expectation=
c. lambda=5/hour expectation=

(c) Find the variance in time between accidents.

a. lambda=1/hour variance=
b. lambda=3/hour variance=
c. lambda=5/hour variance=