The value of $k$ if the point $(9, 2)$ passes through $2 x + 5 y = k$

23

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82

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28

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42

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Solution

The correct option is C $28$
$P (X = 0) = 0 P (X = 1) = k P (X = 2) = 4 k P (X = 3) = 2 k P (X = 4) = k P (X > 4) = 0$
The sum of probabilities is $1$
$⟹ 0 + k + 4 k + 2 k + k + 0 = 17 k = 1 k = \frac{1}{7}$
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