Is it binomial or normal?

Dear Student
Binomial Distribution:
A binomial distribution is a common probability distribution that occurs in practice. It arises in the following situation:
There are n independent trials.
Each trial results in a "success" or "failure"
The probability of success in each and every trial is equal to 'p'.
If the random variable X counts the number of successes in the n trials, then X has a binomial distribution with parameters n and p.
X ~ Bin (n, p).
Properties of Binomial distribution:
If X ~ Bin (n, p), then the probability mass function of the binomial distribution is
f (x) = P (X =x) = nCr px(1 - p)n-x
for x = 0, 1, 2, 3,...,n
Mean E (X) = μ = np.
Variance (σ2) = np(1 - p).

Hence, option (D) is correct.

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