Suppose that the lifetime of a component (in hours) is modeled with a Weibull distributionwith 3 = 2 and 6 = 4000. Determine the following in parts (a) and (b):a P(X > 5000)b P(X > 8000|X > 3000)c Comment on the probabilities in the previous parts compared to the results for an expo-nential distribution.

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Answered: Suppose that the lifetime of a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 45 feet. Let X be the distance in feet for a fly ball.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly hit fly ball travels less than 338 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
Assume that women's heights are normally distributed with a mean 64.5 in, and a standard deviation of 2.3 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 65 in.(b) if 46 women are randomly selected, find the probability that they have a mean height less than 65 in.
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 275 feet and a standard deviation of 35 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly hit fly ball travels less than 265 feet. Round to 4 decimal places.
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