The distance the tires can run until wear- out (X) is a normally distributed random variable with a mean of 81000 miles and a standard deviation of 6500 miles. What is the probability that the tire wears out before 70000 miles? P(X < 70000) =

The distance the tires can run until wear- out (X) is a normally distributed random variable with a mean of 81000 miles and a standard deviation of 6500 miles. What is the probability that the tire wears out before 70000 miles? P(X < 70000) =

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

The distance the tires can run until wear- out (X) is a normally distributed random variable with a mean of 81000 miles and a standard deviation of 6500 miles.

What is the probability that the tire wears out before 70000 miles?

P(X < 70000) =

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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