Question: Experience has shown that while walking in a certain park, the time X, in minutes, between seeing two people smoking has a probability density function

Experience has shown that while walking in a certain park, the time X, in minutes, between seeing two people smoking has a probability density function of the form

Axe- f(x) = 2>0 otherwise.

(a) Calculate the value of λ.

(b) Find the distribution function of X.

(c) What is the probability that Jeff, who has just seen a person smoking, will see another person smoking in 2 to 5 minutes? In at least 7 minutes?

Axe- f(x) = 2>0 otherwise.

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