A discrete random variable X has the probability distribution as given belowWheX - 0-5 - 1 - 1-5 - 211WhineP X - k - k - 2 - 2 k - 2 - kWhine array Determine the mean of the distribution-

We have, [ X amp; 0.5 amp; 1 amp; 1.5 amp; 2; P(X) amp; k amp; k^2 amp; 2k^2 amp; k; ] Mean of the distribution (μ) = E(X) ...

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Conditional Probability

A discrete ra...

Question

A discrete random variable X has the probability distribution as given below

$\begin{matrix} X & 0.5 & 1 & 1.5 & 2 P (X) & k & k^{2} & 2 k^{2} & k \end{matrix}$

Determine the mean of the distribution.

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A discrete random variable X has the probability distribution as given below

$\begin{matrix} X & 0.5 & 1 & 1.5 & 2 P (X) & k & k^{2} & 2 k^{2} & k \end{matrix}$

(i) Find the value of k.

(ii) Determine the mean of the distribution.

X:	0.5	1	1.5	2
P(X):	k	k²	2k²	k

X

$X$	$0$	$1$	$2$	$3$	$4$
$P (X)$	$0.1$	$k$	$2 k$	$2 k$	$k$

k

P (X \geq 2)

X

$X = x$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
$P (X = x)$	$0$	$k$	$2 k$	$2 k$	$3 k$	$k^{2}$	$2 k^{2}$	$7 k^{2} + k$

k

P (0 < X < 5)

X

$X = x$	$1$	$2$	$3$	$4$	$5$
$P (X = x)$	$k$	$2 k$	$3 k$	$4 k$	$5 k$

P (X \leq 4)

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