3.2-2. Telephone calls arrive at a doctor's office according to a Poisson process on the average of two every three minutes. Let X denote the waiting time until the first call that arrives after 10 A.M. a. What is the pdf of X? b. Find P(X> 2).

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### Problem 3.2-2

Telephone calls arrive at a doctor's office according to a Poisson process with an average of two every three minutes. Let \( X \) denote the waiting time until the first call that arrives after 10 a.m.

**a.** What is the probability density function (pdf) of \( X \)?

**b.** Find \( P(X > 2) \).
Transcribed Image Text:### Problem 3.2-2 Telephone calls arrive at a doctor's office according to a Poisson process with an average of two every three minutes. Let \( X \) denote the waiting time until the first call that arrives after 10 a.m. **a.** What is the probability density function (pdf) of \( X \)? **b.** Find \( P(X > 2) \).
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