A factory produces a particular type of electronic component. The probability of a component being acceptable is 0.95. The components are packed in boxes of 24.

Question

(i) Calculate the probability that a box, chosen at random, contains exactly 22 acceptable components.
All the boxes are inspected and a box is rejected if it contains fewer than 22 acceptable components.
(ii) Calculate the probability that a box, chosen at random is rejected. The factory produces 80 boxes per day over a long period of time.
(iii) Estimate the mean and standard deviation of the number of boxes rejected per day.

Answer 1

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Answer 2

1.5

Answer 3

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