Question

Why is the central limit theorem useful? select one:

a. small samples of random independant variables will be distributed normally

b. small samples of random dependant variables will be distributed normally

c. big samples of random dependant variables will be distributed normally

d. big samples of random independant variables will be distributed normally?

Answer 1

Answer is option (d) - big samples of random independant variables will be distributed normally

Central limit theorem (CLT) is a concept in probability theory, according to which, the mean value of all the given samples from the population is approximately same as the mean value of population, for a given big sample size of a population.

When the sample size becomes big, the distribution of means will advance towards normality. A bell curve is arrived for the distribution.

Answer 2

Answer-:

(D) big samples of Random independant variables will be distributed normally.

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