A lawyer has an unlisted number on which shereceives on the average 2.1 calls every half-hour anda listed number on which she receives on the average10.9 calls every half-hour. If it can be assumed that thenumbers of calls that she receives on these phones are independent random variables having Poisson distribu-tions, what are the probabilities that in half an hour she will receive altogether(a) 14 calls;(b) at most 6 calls?
A lawyer has an unlisted number on which shereceives on the average 2.1 calls every half-hour anda listed number on which she receives on the average10.9 calls every half-hour. If it can be assumed that thenumbers of calls that she receives on these phones are independent random variables having Poisson distribu-tions, what are the probabilities that in half an hour she will receive altogether(a) 14 calls;(b) at most 6 calls?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question
A lawyer has an unlisted number on which she
receives on the average 2.1 calls every half-hour and
a listed number on which she receives on the average
10.9 calls every half-hour. If it can be assumed that the
numbers of calls that she receives on these phones are
receives on the average 2.1 calls every half-hour and
a listed number on which she receives on the average
10.9 calls every half-hour. If it can be assumed that the
numbers of calls that she receives on these phones are
independent random variables having Poisson distribu-
tions, what are the probabilities that in half an hour she
tions, what are the probabilities that in half an hour she
will receive altogether
(a) 14 calls;
(b) at most 6 calls?
(a) 14 calls;
(b) at most 6 calls?
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