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Telephone calls to the national reservation center for motels were studied. A certain model defined a Type I call to be a call from a motel's computer terminal to the national reservation center. For a certain motel, the number, X, of Type 1 calls per hour has a Poisson distribution with parameter 1.8. Answer the following questions. CO a. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be exactly three. The probability that exactly three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) b. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at most three. The probability that at most three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) c. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at least three. (Hint: Use the complementation rule.) The probability that at least three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) d. Find the mean of the random variable X.

Telephone calls to the national reservation center for motels were studied. A certain model defined a Type I call to be a call from a motel's computer terminal to the national reservation center. For a certain motel, the number, X, of Type 1 calls per hour has a Poisson distribution with parameter 1.8. Answer the following questions. CO a. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be exactly three. The probability that exactly three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) b. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at most three. The probability that at most three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) c. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at least three. (Hint: Use the complementation rule.) The probability that at least three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) d. Find the mean of the random variable X.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Telephone calls to the national reservation center for motels were studied. A certain model defined a Type I call to be a call from a motel's computer terminal to the national reservation center. For a certain motel, the number, X, of Type 1 calls per hour has a Poisson distribution with parameter 1.8. Answer the following questions. a. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be exactly three. The probability that exactly three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) b. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at most three. The probability that at most three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) c. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at least three. (Hint: Use the complementation rule.) The probability that at least three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) d. Find the mean of the random variable X.
Transcribed Image Text:Telephone calls to the national reservation center for motels were studied. A certain model defined a Type I call to be a call from a motel's computer terminal to the national reservation center. For a certain motel, the number, X, of Type 1 calls per hour has a Poisson distribution with parameter 1.8. Answer the following questions. a. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be exactly three. The probability that exactly three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) b. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at most three. The probability that at most three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) c. Determine the probability that the number of Type 1 calls made from this motel during a period of 1 hour will be at least three. (Hint: Use the complementation rule.) The probability that at least three Type 1 calls are made is (Do not round until the final answer. Then round to four decimal places as needed.) d. Find the mean of the random variable X.
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