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(Solved):     The probability distribution of a random variable \( X \) is given by the followi ...



The probability distribution of a random variable \( X \) is given by the following:
rind,
(a) The value of the constant \( c

 

A continuous random variable \( X \) has a p.d. \( f \)
\[
f(x)=\left\{\begin{array}{ll}
\frac{k x}{3}, & 0 \leq x<3 \\
k, &

 

The probability distribution of a random variable \( X \) is given by the following: rind, (a) The value of the constant \( c \) (b) \( E(X) \) and \( \operatorname{Var}(X) \) (c) The cumulative distribution function (cdi) and give its sketch. (d) \( P(X \geq 2) \) (e) \( P(0c)=0.85 \)


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