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dit View History Bookm People Window Help aSecure https://gauchospace.ucsb.ed ulz/attempt.php?attempt-13384468page-2 0.0001 Question 9 Not yet answeredPoisson rate of four calls per hour. What is the probability we receive at least one phone call Points out of 10.0o during the first 30 minutes after opening? P Flag question Select one: During business hours telephone calls into Bret's Probability Tutoring Center" are received at a a. 0.2582 b. 0.9817 c, 0.8647 O d. 0.6333 f. 0.2707 A gcometric random variable X has probability function P(x) = (1-p)p" Points out of ie o Flag question for-0,1,2,3, 4,5,..- Calculate the probability that X is divisible by 4. In other words, Plo.4.8, 12, 16, 20,

Explanation / Answer

Let X be the number of phone call received.

X follows Poisson with parameter 4 per hour. That is 4 per 60 minutes or 2 per 30 minutes.

Now

Pr( X >= 1) during first 30 minutes

= 1 - Pr(X <1)

= 1 - Pr(X = 0)

= 1 - 0.1353

= 0.8647

Hence option c) is correct answer.

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