An appliance center guarantees their washing machine for a period of 1 year. The washing machine life is normally distributed with a mean of 3.7 years and a standard deviation of 1.8 years. What is the probability that a washing machine will break down during the guarantee period of 1 year?

An appliance center guarantees their washing machine for a period of 1 year. The washing machine life is normally distributed with a mean of 3.7 years and a standard deviation of 1.8 years. What is the probability that a washing machine will break down during the guarantee period of 1 year?

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

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

An appliance center guarantees their washing machine for a period of 1 year. The
washing machine life is normally distributed with a mean of 3.7 years and a standard
deviation of 1.8 years. What is the probability that a washing machine will break down
during the guarantee period of 1 year?

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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