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A random variables has a normal distribution with 110.4 and o = 37.1. You intend to draw a random sample of size n = 16. μ = Find the probability that a single randomly selected value is less than 85.4. P(X < 85.4) = Find the probability that a sample of size n = 16 is randomly selected with a mean less than 85.4. P(X < 85.4) = Are your answers different? If yes, comment below why you think that the probabilities are different.

A random variables has a normal distribution with 110.4 and o = 37.1. You intend to draw a random sample of size n = 16. μ = Find the probability that a single randomly selected value is less than 85.4. P(X < 85.4) = Find the probability that a sample of size n = 16 is randomly selected with a mean less than 85.4. P(X < 85.4) = Are your answers different? If yes, comment below why you think that the probabilities are different.

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 random variables has a normal distribution with μ = 110.4 and o = 37.1. You intend to draw a random sample of size n = 16. Find the probability that a single randomly selected value is less than 85.4. P(X < 85.4) = Find the probability that a sample of size n = 16 is randomly selected with a mean less than 85.4. P(X < 85.4) = Are your answers different? If yes, comment below why you think that the probabilities are different.
Transcribed Image Text:A random variables has a normal distribution with μ = 110.4 and o = 37.1. You intend to draw a random sample of size n = 16. Find the probability that a single randomly selected value is less than 85.4. P(X < 85.4) = Find the probability that a sample of size n = 16 is randomly selected with a mean less than 85.4. P(X < 85.4) = Are your answers different? If yes, comment below why you think that the probabilities are different.
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