The length of an injection-molded plastic case that holds magnetic tape is normally distributed with a length of 90.3 millimeters and a variance of 0.01 millimeter2. What is the probability that a part is longer than 90.5 millimeters or shorter than 89.6 millimeters?

The length of an injection-molded plastic case that holds magnetic tape is normally distributed with a length of 90.3 millimeters and a variance of 0.01 millimeter2. What is the probability that a part is longer than 90.5 millimeters or shorter than 89.6 millimeters?

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 length of an injection-molded plastic case that holds magnetic tape is normally distributed with a length of 90.3 millimeters and a variance of 0.01 millimeter². What is the probability that a part is longer than 90.5 millimeters or shorter than 89.6 millimeters?

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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