The number of rescue calls received by a rescue squad in a city follows a Pois- son distribution with 2.83 per day. The squad can handle at most four calls a day. a. What is the probability that the squad will be able to handle all the calls on a particular day? b. The squad wants to have at least 95% confidence of being able to handle all the calls received in a day. At least how many calls a day should the squad be prepared for? c. Assuming that the squad can handle at most four calls a day, what is the largest value of that would yield 95% confidence that the squad can handle all calls?
The number of rescue calls received by a rescue squad in a city follows a Pois- son distribution with 2.83 per day. The squad can handle at most four calls a day. a. What is the probability that the squad will be able to handle all the calls on a particular day? b. The squad wants to have at least 95% confidence of being able to handle all the calls received in a day. At least how many calls a day should the squad be prepared for? c. Assuming that the squad can handle at most four calls a day, what is the largest value of that would yield 95% confidence that the squad can handle all 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
The number of rescue calls received by a rescue squad in a city follows a Pois-
son distribution with 2.83 per day. The squad can handle at most four calls a day.
a.
What is the probability that the squad will be able to handle all the calls
on a particular day?
b.
The squad wants to have at least 95% confidence of being able to handle
all the calls received in a day. At least how many calls a day should the
squad be prepared for?
c.
Assuming that the squad can handle at most four calls a day, what is the
largest value of
that would yield 95% confidence that the squad can
handle all calls?
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