The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 3 hour. There are 100 batteries in a package. What is the probability that the total lifetime of these batteries is (a) at most 1100 hours? (b) between 950 and 1100 hours? (c) at least 950 hours?
The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 3 hour. There are 100 batteries in a package. What is the probability that the total lifetime of these batteries is (a) at most 1100 hours? (b) between 950 and 1100 hours? (c) at least 950 hours?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question
The lifetime of a certain type of battery is
standard deviation 3 hour. There are 100 batteries in a package. What is the probability that the total lifetime of
these batteries is
(a) at most 1100 hours?
(b) between 950 and 1100 hours?
(c) at least 950 hours?
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