Each of the batteries in a collection of 40 batteries is equally likely to be either a type A or a type B battery. Type A batteries last for an amount of time that has mean 50 and standard deviation 15; type B batteries last for an amount of time that has mean 30 and standard deviation 6. (a) Approximate the probability that the total life of all 40 batteries exceeds 1700. (b) Suppose it is known that 20 of the batteries are type A and 20 are type B. Now approximate the probability that the total life of all 40 batteries exceeds 1700.
Each of the batteries in a collection of 40 batteries is equally likely to be either a type A or a type B battery. Type A batteries last for an amount of time that has mean 50 and standard deviation 15; type B batteries last for an amount of time that has mean 30 and standard deviation 6. (a) Approximate the probability that the total life of all 40 batteries exceeds 1700. (b) Suppose it is known that 20 of the batteries are type A and 20 are type B. Now approximate the probability that the total life of all 40 batteries exceeds 1700.
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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Transcribed Image Text:Each of the batteries in a collection of 40 batteries is equally likely to be either a type A or a
type B battery. Type A batteries last for an amount of time that has mean 50 and standard
deviation 15; type B batteries last for an amount of time that has mean 30 and standard
deviation 6.
(a) Approximate the probability that the total life of all 40 batteries exceeds 1700.
(b) Suppose it is known that 20 of the batteries are type A and 20 are type B. Now approximate
the probability that the total life of all 40 batteries exceeds 1700.
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