Problem 74f

Given information

Here, the mean of the given distribution (μx)=4;

Standard deviation (σx)=1.1547; And Sample size(n)=64;

Step-by-step explanation

Now, By The Central Limit Theorem for Sums:

Mean for Sums (∑X): (n)(μx)=4*64=256;

The standard deviation for Sums (∑X): ( n) (σx);

So, The distribution is;