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Question

Mathematics Question on Probability Distribution

For a discrete random variable X, whose probability distribution is defined as :
P(x)={2k(x+1);x=0,1 3kx;x=2 k(5x)x=3P(x)=\begin{cases} 2k(x+1) ;& x = 0,1 \\\ 3kx; & x=2 \\\ k(5-x) & x=3 \end{cases}
The value of mean will be

A

67\frac{6}{7}

B

157\frac{15}{7}

C

127\frac{12}{7}

D

117\frac{11}{7}

Answer

117\frac{11}{7}

Explanation

Solution

The correct option is (D) :117\frac{11}{7}.