Answered: Let X denote the number of flaws along…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Let X denote the number of flaws along a 100-m reel of
magnetic tape (an integer-valued variable). Suppose X
has approximately a normal distribution with m 5 25
and s 5 5. Use the continuity correction to calculate the
probability that the number of flaws is
a. Between 20 and 30, inclusive.
b. At most 30. Less than 30.

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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