The random variable X is binomially distributed X From the Central limit Theorem

Question

The random variable X is binomially distributed X From the Central limit Theorem, we have: Bin (100,0.5). The Central Limit Theorem does not imply any normal approximation to this Binomial distribution The distribution of X can be well approximated by the normal distribution N(50,0.05). The distribution of X can be well approximated by the normal distribution N(50,5). The distribution of X can be well approximated by the normal distribution N(50,0.0025). The distribution of X can be well approximated by the normal distribution N(50,25).

Explanation / Answer

n = 100

p = 0.5

Mean = n * p = 100 * 0.5 = 50

Variance = n * p *(1-p) = 100 * 0.5 * 0.5 = 25

Option-E) is the correct answer.

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