1. James is an operator of a machine that uses 16 batteries. Because it has so many, it does not shut off until half of the batteries are dead. a. All batteries are independent and have uniformly distributed lifetimes on the interval [ 0, 1 ½] years. Find the probability that the machine shuts before 1 years of work? b. What is the expected time when the 5th and the 8th battery die?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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PART C.
1. James is an operator of a machine that uses 16 batteries. Because it has so many,
it does not shut off until half of the batteries are dead.
a. All batteries are independent and have uniformly distributed lifetimes on the
interval [ 0, 1 2] years. Find the probability that the machine shuts before 1
years of work?
b. What is the expected time when the 5th and the 8th battery die?
Transcribed Image Text:PART C. 1. James is an operator of a machine that uses 16 batteries. Because it has so many, it does not shut off until half of the batteries are dead. a. All batteries are independent and have uniformly distributed lifetimes on the interval [ 0, 1 2] years. Find the probability that the machine shuts before 1 years of work? b. What is the expected time when the 5th and the 8th battery die?
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