A traffic light at a certain intersection is green 50% of the time,yellow 10% of the...

A traffic light at a certain intersection is green 50% of the time,yellow 10% of the time, and red 40% of the time. A car approaches this intersection once each day. We would like to know about the number of days that pass up to and including the first time the car encounters a red light. Assume that each day represents an independent trial.

a) Define the random variable of interest, it support, and parameter values.

b) What is the probability that exactly three days passed up to and including the first time the car encounters a red light?

c) Find P(X<=3).

d) Find the average number of days that passes up to and including the first time the car encounters a red light.

Expert Solution

orchestra answered 2 years ago

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