Homework6.2: Problem 3 Prevous ProblemProblem List Next Problem (1 point) The to
ID: 3369376 • Letter: H
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Homework6.2: Problem 3 Prevous ProblemProblem List Next Problem (1 point) The top-selling Red and Voss tire is rated 70000 mles, which means nothing in tact, the distance the tires can nun unltil wear-out is a normaly distributed random variable with a mean of 80000 miles and a standard deviation of 5000 miles A What is the probability that the tire wears out before 70000 miles? Probability B. What is the probability that a tire lasts more than 90000 miles? Note: You can eam partial credit on this problem You have attempted this problem 0 times You have unlimited attempts remainingExplanation / Answer
SolutionA:
mean=80000
sd=5000
P(X<70000)
X ~ normal distr
Z=x-mean/sd
=70000-80000/5000
=-2
P(Z<-2)
=1-P(Z<2)
From standard normal table find the value
=1-0.9772
=0.0228
ANSWER:0.0228
Solutionb:
P(X>90000)
P(Z>90000-80000/5000)
=P(Z>2)
=1-P(Z<2)
=1-0.9772
=0.0228
ANSWER:0.0228
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