which of the following results in probability theory is abou

which of the following results in probability theory is about the convergence of normalized sums of random variables to Gaussian distribution a) strong law of numbers b) Axioms of probability c) central limit theorem d) weak law of large numbers

Solution

And:-(c)central limit theorem.

The normal distribution is uses the central limit theorem. In this the most general form, under some conditions (which include the finite variance), it states that averages of random variables are independently drawn from the independent distributions converge in distribution to the normal, that is why it become normally distributed when the number of random variables is large.