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The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.69 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. Complete parts (a) through (d) below. b. What is the probability that the sample mean is less than 2.68 inches? P(X< 2.68) = 0.1345 (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.67 and 2.71 inches? P(2.67

The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.69 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. Complete parts (a) through (d) below. b. What is the probability that the sample mean is less than 2.68 inches? P(X< 2.68) = 0.1345 (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.67 and 2.71 inches? P(2.67

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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Please help with part d. Thanks!
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.69 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. Complete parts (a) through (d) below. b. What is the probability that the sample mean is less than 2.68 inches? P(X< 2.68) = 0.1345 (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.67 and 2.71 inches? P(2.67 <X< 2.71) = 0.9730 (Round to four decimal places as needed.) d. The probability is 55% that the sample mean will be between what two values symmetrically distributed around the population mean? The lower bound is inches. The upper bound is (Round to two decimal places as needed.) inches.
Transcribed Image Text:The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.69 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. Complete parts (a) through (d) below. b. What is the probability that the sample mean is less than 2.68 inches? P(X< 2.68) = 0.1345 (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.67 and 2.71 inches? P(2.67 <X< 2.71) = 0.9730 (Round to four decimal places as needed.) d. The probability is 55% that the sample mean will be between what two values symmetrically distributed around the population mean? The lower bound is inches. The upper bound is (Round to two decimal places as needed.) inches.
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