Suppose that the number of miles, X, until replacement is needed for a particular type of electric car battery follows an Exponential distribution with a mean of 200,000 miles. 'What is the probability that a randomly selected battery lasts at least 300,000 miles? 1. a. b. ,Suppose 10 batteries are chosen at random. What is the probability that exactly 4 of them last at least 300,000 miles? (Hint: You will need to define a new random variable.) The company that manufactures the battery comes up with a new and hopefully improved version that lasts Y miles until replacement. A random sample of 40 of these batteries are put in test C.
Suppose that the number of miles, X, until replacement is needed for a particular type of electric car battery follows an Exponential distribution with a mean of 200,000 miles. 'What is the probability that a randomly selected battery lasts at least 300,000 miles? 1. a. b. ,Suppose 10 batteries are chosen at random. What is the probability that exactly 4 of them last at least 300,000 miles? (Hint: You will need to define a new random variable.) The company that manufactures the battery comes up with a new and hopefully improved version that lasts Y miles until replacement. A random sample of 40 of these batteries are put in test C.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Suppose that the number of miles, X, until replacement is needed for a particular
type of electric car battery follows an Exponential distribution with a mean of 200,000 miles.
'What is the probability that a randomly selected battery lasts at least 300,000 miles?
1.
a.
, Suppose 10 batteries are chosen at random. What is the probability that exactly 4 of them
last at least 300,000 miles? (Hint: You will need to define a new random variable.)
b.
, The company that manufactures the battery comes up with a new and hopefully improved
version that lasts Y miles until replacement. A random sample of 40 of these batteries are put in test
cars that are driven extensively over a period of a couple of years until the batteries need to be
replaced. The average number of miles until replacement is 320,000 with a standard deviation of
82,000. At an a = .05 level, do these data provide evidence that the true average time until
replacement for these new batteries, µ, is more than 300,000? Conduct a hypothesis test to
determine your answer.
С.
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