Question

The probability distribution of a random variable \(X\) is given below. Then, the mean of \(X\) is 

\(X=x_i\)	\(0\)	\(1\)	\(2\)
\(P(X=x_i)\)	\(3k^2\)	\(2k^2\)	\(k^2+k\)

• A. \(\dfrac79\)
• B. \(\dfrac59\)
• C. \(\dfrac{10}{9}\)
• D. \(\dfrac{13}{9}\)

Hint:

For a discrete random variable, \[ \boxed{E(X)=\sum x_iP(X=x_i).} \] Before finding the mean, always verify that \[ \boxed{\sum P(X=x_i)=1.} \]

Answer 1

The Correct Option is C