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The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.3 om. a. Find the probability that an individual distance is greater than 211.80 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 200.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 307 a. The probability is 1312. (Round to four decimal places as needed.) b. The probability in (Round to four decimal places as needed.)

The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.3 om. a. Find the probability that an individual distance is greater than 211.80 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 200.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 307 a. The probability is 1312. (Round to four decimal places as needed.) b. The probability in (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 211.80 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 200.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is 1312. (Round to four decimal places as needed.) b. The probability isO (Round to four decimal places as needed.)
Transcribed Image Text:The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 211.80 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 200.70 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is 1312. (Round to four decimal places as needed.) b. The probability isO (Round to four decimal places as needed.)
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