Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2- P(X>2|Y< -1) Q3/ Let X be a random variable with uniform distribution Uniform(a,b). find the mean and variance

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:-
1- P(Y > 1)
2- P(X>2 | Y< -1)
Q3/ Let X be a random variable with uniform distribution Uniform(a,b). find the mean and
variance
Transcribed Image Text:Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2- P(X>2 | Y< -1) Q3/ Let X be a random variable with uniform distribution Uniform(a,b). find the mean and variance
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