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Question

Mathematics Question on Random Variables and its Probability Distributions

A random variable X has the following probability distribution:

XX012
P(X)P(X)2536\frac{25}{36}k136\frac{1}{36}

If the mean of the random variable X is 13\frac{1}{3}, then the variance is

A

118\frac{1}{18}

B

518\frac{5}{18}

C

718\frac{7}{18}

D

1118\frac{11}{18}

Answer

518\frac{5}{18}

Explanation

Solution

The correct answer is Option (B) : 518\frac{5}{18}