and X, be independent normally distributed random variables. X,has a normal distribution with mean 1 and variance 4. X, has a normal distribution with mean 2 and 2. Let X1 X2 variance 9, and X, has a normal distribution with mean 3 and variance 16. a. Find the probability that all the X's are greater than one. D. Find the probability that exactly two of the X's are greater than one.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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a and b please and thank you 

2. Let X1 X2 and X, be independent normally distributed random variables. X,has a
normal distribution with mean 1 and variance 4. X, has a normal distribution with mean 2 and
variance 9, and X3 has a normal distribution with mean 3 and variance 16.
Find the probability that all the X's are greater than one.
a.
b. Find the probability that exactly two of the X's are greater than one.
Transcribed Image Text:2. Let X1 X2 and X, be independent normally distributed random variables. X,has a normal distribution with mean 1 and variance 4. X, has a normal distribution with mean 2 and variance 9, and X3 has a normal distribution with mean 3 and variance 16. Find the probability that all the X's are greater than one. a. b. Find the probability that exactly two of the X's are greater than one.
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