(a) Number of calls coming to the customer care center of a mobile company per minute is a Poisson random variable with mean 1.2. Find the probability that: i. no call comes in a certain minute. i. less than 4 call comes in a 3 minutes. iii. at most 2 call comes in a 6 minutes.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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Statistics and Probabilities

(a)
Number of calls coming to the customer care center of a mobile
company per minute is a Poisson random variable with mean 1.2.
Find the probability that:
i.
no call comes in a certain minute.
i.
less than 4 call comes in a 3 minutes.
ii.
at most 2 call comes in a 6 minutes.
(b) For a certain type of computers, the length of time between
charges of the battery is normally distributed with a mean of 45
hours and a standard deviation of 12 hours.
Find the probability that the length of time:
i.
will be less than 25.
i.
will be more than 37.
i.
will be between 48 and 62 hours.
Transcribed Image Text:(a) Number of calls coming to the customer care center of a mobile company per minute is a Poisson random variable with mean 1.2. Find the probability that: i. no call comes in a certain minute. i. less than 4 call comes in a 3 minutes. ii. at most 2 call comes in a 6 minutes. (b) For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 45 hours and a standard deviation of 12 hours. Find the probability that the length of time: i. will be less than 25. i. will be more than 37. i. will be between 48 and 62 hours.
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