The probability distribution of $x$ is
$x$ $0$ $1$ $2$ $3$
$P (x)$ $0.2$ $k$ $k$ $2 k$
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

The correct option is B $0.2$
We must have, $\sum P (x) = 1$

$\Rightarrow 0.2 + k + k + 2 k = 1$

$\Rightarrow 4 k = 1 - 0.2 = 0.8$

$∴ k = \frac{0.8}{4} = 0.2$

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