When a car passes through a traffic junction, the delay (in minutes) caused by the red light in the traffic lights is a random variable X with distribution function

(i) Explain why this is a mixed distribution and find the probability that a car has no delay in passing through the traffic lights of the junction.
(ii) For a car passing through the traffic lights, what is the probability that it is delayed by

(a) less than 60 seconds?

(b) at least 45 but no more than 90 seconds?

(c) more than 120 seconds?
(iii) What is the expected delay caused by the red light in the junction?

Transcribed Image Text:

F(t)= { 0. t < 0, 10.75e, t 0.