Suppose the random variable X has pdf Exp(- (u - 2)²), fx(u) = K 2√2π 0≤u≤ 4, otherwise. where K is a constant to be determined. Determine K, the CDF Fx, and the mean E[X].

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose the random variable X has pdf
Exp(- (u - 2)²),
fx(u) =
K
2√2π
0≤u≤ 4,
otherwise.
where K is a constant to be determined. Determine K, the CDF Fx, and the mean E[X].
Transcribed Image Text:Suppose the random variable X has pdf Exp(- (u - 2)²), fx(u) = K 2√2π 0≤u≤ 4, otherwise. where K is a constant to be determined. Determine K, the CDF Fx, and the mean E[X].
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