Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally distributed, with a mean life of 1500 hr and a standard deviation of 100 hr. If 90,000 of these bulbs are produced, how many will last between 1360 hr and 1620 hr?

Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally distributed, with a mean life of 1500 hr and a standard deviation of 100 hr. If 90,000 of these bulbs are produced, how many will last between 1360 hr and 1620 hr?

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

Section13.3: Special Probability Density Functions

Problem 28E

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Question

Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally distributed, with a mean life of

1500

hr and a standard deviation of

100

hr.

90,000

of these bulbs are produced, how many will last between

1360

hr and

1620

hr?

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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