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Mean and variance of binomial distribution are

This question was previously asked in
TNUSRB SI 2020 Official Paper (Held on 12 January 2020)
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  1. nq, npq
  2. np, \(\sqrt{npq}\)
  3. np, np
  4. np, npq

Answer (Detailed Solution Below)

Option 4 : np, npq
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Detailed Solution

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The correct option is 4) np, npq.
Explanation:
In a binomial distribution, the mean (also known as the expected value) and variance are given by:
 
- Mean (μ) = np
- Variance (σ²) = npq
 
Here:
- n is the number of trials,
- p is the probability of success on a single trial, and
- q is the probability of failure on a single trial, which is equal to (1 - p).
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