The random variable X has a continuous distribution with density f, where f(x) ={x/2−5i f10≤x≤12 ,0...

The random variable X has a continuous distribution with density f, where f(x) ={x/2−5i f10≤x≤12 ,0 otherwise.

(a) Determine the cumulative distribution function of X.(1p)

(b) Calculate the mean of X.(1p)

(d) Calculate the median of X, i.e. a number m such that P(X≤m) = 1/2

(e) Calculate the mean of the random variable Y= 12−X

(f) Calculate P(X^2<121)

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Expert Solution

orchestra answered 1 year ago

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