The shop receives 50 parts. The probability of having a non-standard part in the lot is 0.05. Find the most likely number of non-standard parts in this batch?
There are 50 independent re-trials with two outcomes each. The probability of a non-standard part appearing in each test is constant. So Bernoulli’s scheme will be executed. By the formula we have:
50 × 0.05-0.95 <k0 <50 × 0.05 + 0.05
1.55 <k 0 <2.55
Since the number of parts can only be an integer, the most likely number of non-standard parts in this batch is 2.
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