A telephone exchange receives, on average, 5 calls per minute. Find the probability (i) that in a 1-minute period no calls are received; (ii) that in a 2-minute period fewer than 4 calls are received; (iii) that in a 20-minute period no more than 102 calls are received;

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Statistics and Probability
A telephone exchange receives, on average, 5 calls per minute. Find the probability
(i) that in a 1-minute period no calls are received;
(ii) that in a 2-minute period fewer than 4 calls are received;
(iii) that in a 20-minute period no more than 102 calls are received;
(iv) that out of five separate 1-minute periods there are exactly four in which 2 or more calls
are received.
Transcribed Image Text:A telephone exchange receives, on average, 5 calls per minute. Find the probability (i) that in a 1-minute period no calls are received; (ii) that in a 2-minute period fewer than 4 calls are received; (iii) that in a 20-minute period no more than 102 calls are received; (iv) that out of five separate 1-minute periods there are exactly four in which 2 or more calls are received.
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