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Homework6.2: Problem 3 Prevous ProblemProblem List Next Problem (1 point) The to

ID: 3369376 • Letter: H

Question

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 remaining

Explanation / 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