b) Bring out the major properties of binomial distribution. Mention certain important uses of this distribution.

The binomial distribution is a fundamental probability distribution in statistics that describes the number of successes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. It is characterized by two parameters: the probability of success in a single trial, denoted by \(p\), and the number of trials, denoted by \(n\).

Properties of the Binomial Distribution:

1. Discreteness: The binomial distribution is a discrete probability distribution, meaning that its possible values are distinct and separate. It only considers whole numbers, as it deals with counts of successes in a fixed number of trials.

2. Fixed Number of Trials: The distribution models a fixed number \(n\) of independent trials, each with the same probability of success \(p\) and the same probability of failure \(q = 1 - p\). The trials are assumed to be independent and identical.

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