4. The amount of time required for a mechanic to replace a clutch isnormally distributed with mean 100 minutes and standard deviationof 20 minutes. A car is taken to the mechanic to have its clutchreplaced. Let X be the number of minutes it takes to repair the car,and Z be the standard normal distribution.(a) Calculate the z-value corresponding to X120.(b) Hence or otherwise find the probability that the car will be readyin two hours or less.(c) Find the probability that the car will not be ready until after 90minutes.

From the given information, The mean value is 100 minutes and standard deviation is 20 minutes. That…

Answered: The amount of time required for 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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The distribution of blood cholesterol level in the population of young men aged 20 to 34 years is close to Normal with standard deviation ? = 45 milligrams per deciliter (mg/dL). You measure the blood cholesterol of 13 cross-country runners. The mean level is x = 174 mg/dL. Assume that ? is the same as in the general population. How large a sample is needed to cut the margin-of-error in half for a 90% confidence interval of the mean level ? among the cross-country runners?
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David and Patrick are playing baseball for the Cafe Tropical team. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. If X = distance in feet for a fly ball, then X ~ N ( , ) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled less than 220 feet? Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability. P = Find the 80th percentile of the distribution of fly balls. 80th Percentile: feet

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