Question:medium

The range of a discrete random variable X is\( \{1, 2, 3\}\) and the probabilities of its elements are given by \(P(X=1) = 3k^3\), \(P(X=2) = 2k^2\) and \(P(X=3) = 7-19k\). Then \(P(X=3) = \)}

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The two fundamental rules for a probability distribution are: 1) The probability of any individual outcome must be between 0 and 1, inclusive. 2) The sum of the probabilities of all possible outcomes must equal 1. Always check your derived constants against both rules.

Updated On: Mar 30, 2026

\( \frac{2}{3} \)
\( \frac{2}{9} \)
\( \frac{1}{9} \)
\( \frac{4}{9} \)

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The Correct Option is A

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