Consider the following probability density function of a random variable X 1 .4 -0.2500x 24576 e ,x > 0 f(x) = , elsewhere a) What is the expected value of X? b) What is the standard deviation of X?...


Consider the following probability density function of a random variable X<br>1<br>.4<br>-0.2500x<br>24576 e<br>,x > 0<br>f(x) =<br>, elsewhere<br>a) What is the expected value of X?<br>b) What is the standard deviation of X?<br>c) Use Tchebysheff's theorem to find a bound for P(X > 6.5)<br>

Extracted text: Consider the following probability density function of a random variable X 1 .4 -0.2500x 24576 e ,x > 0 f(x) = , elsewhere a) What is the expected value of X? b) What is the standard deviation of X? c) Use Tchebysheff's theorem to find a bound for P(X > 6.5)

Jun 11, 2022
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