Bowling Scores. At the time this book was written, the bowling scores, S of author Marv Bittinger (shown below) were normally distributed with mean 201 and standard deviation 23. a. Find the probability that one of Marv’s scores is from 185 to 215. b. Find the probability that one of his scores is from 160 to 175. c. Find the probability that one of his scores is greater than 200. d. Marv’s best score is 299. Find the percentile that corresponds to this score, and explain what that number represents.
Bowling Scores. At the time this book was written, the bowling scores, S of author Marv Bittinger (shown below) were normally distributed with mean 201 and standard deviation 23. a. Find the probability that one of Marv’s scores is from 185 to 215. b. Find the probability that one of his scores is from 160 to 175. c. Find the probability that one of his scores is greater than 200. d. Marv’s best score is 299. Find the percentile that corresponds to this score, and explain what that number represents.
Solution Summary: The author calculates the probability that one of Marv's scores is from 185 to 215. The bowling scores were normally distributed with mean 201 and standard deviation 23.
Bowling Scores. At the time this book was written, the bowling scores, S of author Marv Bittinger (shown below) were normally distributed with mean 201 and standard deviation 23.
a. Find the probability that one of Marv’s scores is from 185 to 215.
b. Find the probability that one of his scores is from 160 to 175.
c. Find the probability that one of his scores is greater than 200.
d. Marv’s best score is 299. Find the percentile that corresponds to this score, and explain what that number represents.
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.
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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