In the hour before noon, a busy corporation switchboard received an average of 55 calls. What is the probability that more than 70 calls will be received during this hour? What is the probability that fewer than 50 calls will be received during this hour? What is the probability that between 50 and 70 calls will be received during this hour? (Use the normal approx. to the Poisson distribution, without the continuity correction.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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  1. In the hour before noon, a busy corporation switchboard received an average of 55 calls.
    1. What is the probability that more than 70 calls will be received during this hour?
    2. What is the probability that fewer than 50 calls will be received during this hour?
    3. What is the probability that between 50 and 70 calls will be received during this hour?

(Use the normal approx. to the Poisson distribution, without the continuity correction.

 

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