Determine the value of the constant k
Let X be a continuous random variable with density fx(s) = k(s-6) for s ≥ 1 and fx(s) = 0 for s < 1.
a) Determine the value of the constant k.
b) Calculate E[X].
c) Calculate VAR[X].
d) Calculate P(X ε [-2, -0.75]).
e) Calculate P(X ε [2,3]).
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