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A random variable X has the following probability distribution
X=x 0 1 2 3 4 5 6 7
P(X=x) 0 k 2k 2k 3k $k^{2}$ $2 k^{2}$ $7 k^{2} + k$
Then the mean is

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3.26

3.33

3.66

3.17

answer is C.

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Detailed Solution

Sum of probability = 1

$\Rightarrow K = - 1, \frac{1}{10}$

Mean $= \frac{366}{100} = 3.66$

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