Find the value of c so that is a probability distribution

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Suppose the probability of selecting a number from the interval (0,2) is given by f(x)=Cx

a) Find the value of C so that is a probability distribution.

b) Find the probability that the given number is in the interval (0,1).

c) Find the probability that the given number is in the interval (1,2)

d) if X(x)=x is the random variable giving the value of the selected number, what is E(X) and Var(X)

Reference no: EM132339456

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