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Classical Definition of Probability

A random vari...

Question

A random variable X has its range $1, 2, 3$ with respective probabilities $P (X = 1) = K, P (X = 2) = 2 K, P (X = 3) = 3 K,$ then the value of K is

\frac{1}{4}

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\frac{1}{5}

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\frac{1}{6}

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\frac{1}{8}

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Solution

The correct option is C $\frac{1}{6}$
$3 \sum 1 P (X = x) = 1$
$K (1 + 2 + 3) = 1$
$K = \frac{1}{6}$

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