Mathematics · Binomial Distribution
Which of the following statements correctly explains the mathematical procedure for determining the expected frequency of a specific number of successes (r) when a binomial experiment is repeated across N independent trials?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The expected frequency is calculated by taking the product of the population mean (μ) and the standard deviation (σ) across all trials.
- 2The expected frequency is derived by dividing the probability of success by the number of successes (r) and multiplying by N.
- 3The expected frequency for r successes is identical to the standard deviation of the binomial distribution, calculated as √(npq).
- 4The expected frequency of r successes is calculated by multiplying the total number of experiments (N) by the binomial probability mass function, given as N × nCr × qn-r × pr.✓
Correct answer
The expected frequency of r successes is calculated by multiplying the total number of experiments (N) by the binomial probability mass function, given as N × nCr × qn-r × pr.
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