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Question 4 X is a random variable with mean 20 and variance 9. a) Write P(X s 15) in terms of the standard normal distribution and use the attached standard normal table to find P(X < 15). b) Write P(15 s X s 20) in terms of the standard normal distribution, and use the attached standard normal table to find P(15 s x s 20). c) If Y is a normal random variable with mean 2 and variance 12, what is the mean and variance of Z = 2X + Y + 3 ?

Question 4 X is a random variable with mean 20 and variance 9. a) Write P(X s 15) in terms of the standard normal distribution and use the attached standard normal table to find P(X < 15). b) Write P(15 s X s 20) in terms of the standard normal distribution, and use the attached standard normal table to find P(15 s x s 20). c) If Y is a normal random variable with mean 2 and variance 12, what is the mean and variance of Z = 2X + Y + 3 ?

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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Question 4 X is a random variable with mean 20 and variance 9. a) Write P(X < 15) in terms of the standard normal distribution and use the attached standard normal table to find P(X < 15). b) Write P(15 < X s 20) in terms of the standard normal distribution, and use the attached standard normal table to find P(15 s X s 20). c) If Y is a normal random variable with mean 2 and variance 12, what is the mean and variance of Z = 2X + Y + 3 ? Solution:
Transcribed Image Text:Question 4 X is a random variable with mean 20 and variance 9. a) Write P(X < 15) in terms of the standard normal distribution and use the attached standard normal table to find P(X < 15). b) Write P(15 < X s 20) in terms of the standard normal distribution, and use the attached standard normal table to find P(15 s X s 20). c) If Y is a normal random variable with mean 2 and variance 12, what is the mean and variance of Z = 2X + Y + 3 ? Solution:
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