CA Foundation · Quantitative Aptitude · Theoretical Distributions
A quality control process inspects batches of electronic components. The inspection follows a binomial distribution where each component has a 90% probability of passing inspection. If a batch contains 10 components, what is the expected number of components that will pass?
The expected value of a binomial distribution equals the number of trials times the probability of success. E(X) = 10 × 0.90 = 9 components. This is the average we would expect across many similar batches.
- A7
- B8
- C9Correct
- D10
Explanation
For a binomial distribution, the expected value is E(X) = n × p, where n is the number of trials and p is the probability of success. Here, E(X) = 10 × 0.90 = 9. This represents the mean outcome we expect over many batches, not the guarantee for a single batch.
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