Explanation Given: n = 442 And, P = 0.54 Calculation: Check the approximation for normal distribution as follows: n P = 442 × 0.54 n P = 238.68 And n ( 1 − P ) = 442 × ( 1 − 0.54 ) n ( 1 − P ) = 203.32 So, both the terms are greater than 10. Approximate the above binomial distribution as normal distribution. Now, mean of the normal distribution is, μ x = n P μ x = 442 × 0.54 μ x = 238.68 Standard deviation for the normal distribution is calculated as follows: σ X = n P ( 1 − P ) σ X = 442 × 0

2nd Edition

ISBN: 9781259724275

Author: William Navidi, Barry Monk

Publisher: McGraw-Hill Education

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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 7.5, Problem 12E

To determine

The value of P(X<243) .

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Chapter 7.5, Problem 13E

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