The probability distribution of x is- x 0 1 2 3- Px 0-2 k k 2k- -Find the value of k

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Range and Sum of Probabilities

The probabili...

Question

The probability distribution of x is

$\begin{matrix} x & 0 & 1 & 2 & 3 P (x) & 0.2 & k & k & 2 k \end{matrix}$

Find the value of k

0.2

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0.3

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0.4

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0.1

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Solution

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The probability distribution of a random variable X is given below:

$\begin{matrix} X = x & 0 & 1 & 2 & 3 P (X - x) & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{4}{10} \end{matrix}$

Then the variance of X is

x

\begin{matrix} x & 0 & 1 & 2 & 3 P (x) & 0.2 & k & k & 2 k \end{matrix}

k

X:	0.5	1	1.5	2
P(X):	k	k²	2k²	k

The probability distribution of x is

$\begin{matrix} x & 0 & 1 & 2 & 3 P (x) & 0.2 & k & k & 2 k \end{matrix}$

Find the value of k

X	0	1	2	3
P(X)	k	$\frac{k}{2}$	$\frac{k}{4}$	$\frac{k}{8}$

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