Explanation Formula used: “The standard normal variable is z = x − μ σ , where µ is the mean and σ is the standard deviation.” Calculation: From the given information, the value of mean and standard deviations is 150 and 25 respectively. By the formula, calculate the value of standard normal variable z with x = 90 and μ = 150 . z = x − μ σ = 90 − 150 25 = − 60 25 = − 2.4 Use the Normal distribution table, the area that corresponds to the left of z = − 2.4 is 0

MyLab Math with Pearson eText - Stand Alone Access Card - for Calculus for Business, Economics, Life Sciences & Social Sciences, Brief Version (14th Edition)

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ISBN: 9780134856599

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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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.

Chapter 11.4, Problem 53E

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To find: The probability P(X≤90) with mean 150 and standard deviation 25.

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Chapter 11.4, Problem 52E

Chapter 11.4, Problem 54E

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Chapter 11 Solutions

MyLab Math with Pearson eText - Stand Alone Access Card - for Calculus for Business, Economics, Life Sciences & Social Sciences, Brief Version (14th Edition)

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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The probability P ( X ≤ 90 ) with mean 150 and standard deviation 25.

Solution Summary: The author calculates the probability of P(Xle 90) with mean 150 and standard deviation 25.

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To find: The probability P(X≤90) with mean 150 and standard deviation 25.

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Chapter 11 Solutions