Answered: The average lifespan of a CleanFreek…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 58CR

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Question

The average lifespan of a CleanFreek dishwasher is normally distributed with a mean of 8 years and a standard deviation of 1.5 years.

Standard Normal Distribution Table

a. What is the probability that a CleanFreek dishwasher will last longer than 12 years?
P(X > 12)=

b. What is the probability that a CleanFreek dishwasher will last fewer than 8 years?
P(X < 8)=

c. What length warranty should be established on the dishwashers so that no more than 1.6% of the units will need to be replaced under warranty?
x=

years

Round to 2 decimal places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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