If the probability density of a random variable is given by [f(x)= begin{cases}kleft(1-x^{2} ight) & text {
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If the probability density of a random variable is given by
\[f(x)= \begin{cases}k\left(1-x^{2}\right) & \text { for } 0 find the value of \(k\) and the probabilities that a random variable having this probability density will take on a value (a) between 0.1 and 0.2 ; (b) greater than 0.5 . (c) Find \(\mu\) and \(\sigma^{2}\).
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Related Book For
Probability And Statistics For Engineers
ISBN: 9780134435688
9th Global Edition
Authors: Richard Johnson, Irwin Miller, John Freund
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