A normally distributed population has a mean of 425 and a standard deviation of 80. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 387. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 461, P(i<387) -D (Round to four decimal places as needed.) a

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 normally distributed population has a mean of 425 and a standard deviation of 80.
a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 387.
b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 461.
a. P(i<387) =O
(Round to four decimal places as needed.)
Transcribed Image Text:A normally distributed population has a mean of 425 and a standard deviation of 80. a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 387. b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 461. a. P(i<387) =O (Round to four decimal places as needed.)
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