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= A population of values has a normal distribution with μ size n = 97 is drawn. 14.9 and o 39.2. A random sample of a. Find the probability that a single randomly selected value is greater than 7.3. Round your answer to four decimal places. P(X > 7.3) = b. Find the probability that a sample of size n = 97 is randomly selected with a mean greater than 7.3. Round your answer to four decimal places. P(M > 7.3) = 0.2119

= A population of values has a normal distribution with μ size n = 97 is drawn. 14.9 and o 39.2. A random sample of a. Find the probability that a single randomly selected value is greater than 7.3. Round your answer to four decimal places. P(X > 7.3) = b. Find the probability that a sample of size n = 97 is randomly selected with a mean greater than 7.3. Round your answer to four decimal places. P(M > 7.3) = 0.2119

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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A population of values has a normal distribution with μ = 14.9 and o = 39.2. A random sample of size n = 97 is drawn. a. Find the probability that a single randomly selected value is greater than 7.3. Round your answer to four decimal places. P(X > 7.3): = b. Find the probability that a sample of size n = 97 is randomly selected with a mean greater than 7.3. Round your answer to four decimal places. P(M > 7.3): = 0.2119
Transcribed Image Text:A population of values has a normal distribution with μ = 14.9 and o = 39.2. A random sample of size n = 97 is drawn. a. Find the probability that a single randomly selected value is greater than 7.3. Round your answer to four decimal places. P(X > 7.3): = b. Find the probability that a sample of size n = 97 is randomly selected with a mean greater than 7.3. Round your answer to four decimal places. P(M > 7.3): = 0.2119
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.4 years and a standard deviation of 0.4 years. He then randomly selects records on 36 laptops sold in the past and finds that the mean replacement time is 4.2 years. a. Find the probability that 36 randomly selected laptops will have a mean replacement time of 4.2 years or less. Round your answer to four decimal places. P(M≤ 4.2 years) = b. Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? O No. The probability from the sample shows it is unlikely that the owner is given laptops lower than average quality. O Yes. The probability from the sample shows that there's a possibility that the owner is given laptops lower than average quality.
Transcribed Image Text:The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.4 years and a standard deviation of 0.4 years. He then randomly selects records on 36 laptops sold in the past and finds that the mean replacement time is 4.2 years. a. Find the probability that 36 randomly selected laptops will have a mean replacement time of 4.2 years or less. Round your answer to four decimal places. P(M≤ 4.2 years) = b. Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? O No. The probability from the sample shows it is unlikely that the owner is given laptops lower than average quality. O Yes. The probability from the sample shows that there's a possibility that the owner is given laptops lower than average quality.
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