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f(x)=Cx 1. what value should C be for this to be a valid probability density function...

f(x)=Cx

1. what value should C be for this to be a valid probability density function on the interval [0,4]?

2. what is the Cumulative distribution function f(x) which gives P(X ≤ x) and use it to determine P(X ≤ 2).

3. what is the expected value of X?

4. figure out the value of E[6X+1] and Var(6X+1)

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