Then, we can compute P[Y > 5] in terms of the standard Gaussian CDF Þ(x) as P[Y > 5] = 1 – Þ(a) for a properly chosen value of a. What is the correct

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QUESTION 8
Let X be a Gaussian random variable with mean 0, variance 1, and Y = 2X+1.
Then, we can compute P[Y > 5] in terms of the standard Gaussian CDF (x)
as P[Y> 5] = 1 – Þ(a) for a properly chosen value of a. What is the correct
value of a in this case?
QUESTION 9
Let X be a Uniform(-1, 4) random variable and let B = [0, 4].
Determine fx|B(2), the value of the conditional PDF of X
given B at x = 2.
Transcribed Image Text:QUESTION 8 Let X be a Gaussian random variable with mean 0, variance 1, and Y = 2X+1. Then, we can compute P[Y > 5] in terms of the standard Gaussian CDF (x) as P[Y> 5] = 1 – Þ(a) for a properly chosen value of a. What is the correct value of a in this case? QUESTION 9 Let X be a Uniform(-1, 4) random variable and let B = [0, 4]. Determine fx|B(2), the value of the conditional PDF of X given B at x = 2.
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Q8. Given that,

X~N(μ=0, σ=Variance=1=1)

To find the value of a from the given information.

 

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