The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months. a. What is the probability that a randomly selected watch will be in working condition for more than five years? b. The company has a three-year warranty period on its watches. What percentage of its watches will be in operating condition after the warranty period? c. What are the minimum and maximum life expectancies of the middle 95% of the watches?

The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months. a. What is the probability that a randomly selected watch will be in working condition for more than five years? b. The company has a three-year warranty period on its watches. What percentage of its watches will be in operating condition after the warranty period? c. What are the minimum and maximum life expectancies of the middle 95% of the watches?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months.

a.	What is the probability that a randomly selected watch will be in working condition for more than five years?

b.	The company has a three-year warranty period on its watches. What percentage of its watches will be in operating condition after the warranty period?

c.	What are the minimum and maximum life expectancies of the middle 95% of the watches?
d.	Ninety-five percent of the watches will have a life expectancy of at least how many months?

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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