If m and ^2 are the mean and variance of the random variable X , whose distribution is given by Then

Step-by-step solution

Given, distribution is aligned Mean, m & = _ i=1 ^4 p_i x_i & =0 1 3 +1 1 2 +2 0+3 1 6 aligned =0+ 1 2 +0+ 1 2 =1 Variance, ^2= _ i=1 ^4 p_i (x_i-m )^2 aligned & = 1 3 (0-1)^2+ 1 2 (1-1)^2 & +0(2-1)^2+ 1 6 (3-1)^2 & = 1 3 +0+0+ 2 3 =1 & m= ^2=1 aligned m= ^2=1