If random variables X1 X2 X3 Xn follows Binomial10 04 distr

If random variables X1, X2, X3, ... Xn follows Binomial(10, 0.4) distribution, the mean (of X1, X2, X3, ... Xn) will be approximately normally distributed. This approximation improves with larger samples.

True or False

Solution

TRUE.

For ANY distribution, and that includes binomial distribution, the distribution of the sample means will be approximately normally distributed if repeated many times. Thus, the approximation improves with larger samples.