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If the Probability Distribution of a Random Variable X is Given by Write the Value Of K. X = Xi : 1 2 3 4 P (X = Xi) : 2k 4k 3k K - Mathematics

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प्रश्न

If the probability distribution of a random variable X is given by Write the value of k.

X = xi : 1 2 3 4
P (X = xi) : 2k 4k 3k k

 

बेरीज

उत्तर

We know that the sum of probabilities in a probability distribution is always 1.

∴ P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4) = 1
\[\Rightarrow 2k + 4k + 3k + k = 1\]
\[ \Rightarrow 10k = 1\]
\[ \Rightarrow k = \frac{1}{10} = 0 . 1\]

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पाठ 32: Mean and Variance of a Random Variable - Very Short Answers [पृष्ठ ४५]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 32 Mean and Variance of a Random Variable
Very Short Answers | Q 4 | पृष्ठ ४५

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