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The probability distribution function of a discrete random variable X isf(x) = ,,,,otherwise{2k, x=13k, x=34k,x=50, otherwisewhere k is some constant. Find k - Business Mathematics and Statistics

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प्रश्न

The probability distribution function of a discrete random variable X is
f(x) = `{{:(2k",",  x = 1),(3k",",  x = 3),(4k",", x = 5),(0",",  "otherwise"):}`
where k is some constant. Find k 

बेरीज

उत्तर

Let X be the random variable of a probability distribution function

W.K.T `sum"pi"` = 1

P(x = 1) + P(x = 3) + P(x = 5) = 1

2k + 3k + 4k = 1

9k – 1

⇒ k = 1/9

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पाठ 6: Random Variable and Mathematical expectation - Miscellaneous problems [पृष्ठ १४४]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 6 Random Variable and Mathematical expectation
Miscellaneous problems | Q 4. (a) | पृष्ठ १४४

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