6. Phon e calls arrive randomly and independently at the rate of 24 per hour at

Question

6. Phon e calls arrive randomly and independently at the rate of 24 per hour at the reservation desk for Regiona Airways. (a) Compute the probahility of at least two phone calls in a 10 minute period. A. 0.0147 C. 0.9084 E. None of the above. My answer is: B. 0.0916 D. 0.9853 (b) If no calls are currently bcing processed, what is the probability that the agent can take 5 minutes for person time without being interrupted by a call? A. 0.1804 C. 0.2707 E. None of the above. My answer is: B. 0.2083 D. 0.3524

Explanation / Answer

a)

For 10 mins the average calls is 24/6 = 4 calls

Cumulative Probability: P(X > 2) = 0.9084 (C)

b)

average for 5 mins = 2 calls

Poisson Probability: P(X = 0) = 0.1353 (none of the above)

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