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)

(c) Calculate the mode of X(point where density attains its maximum)

(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)

Expert Solution

orchestra answered 2 years ago

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