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QUESTION
A manufacturing plant operates on a three-shift system: Shift A, Shift B, and Shift C. The table below shows the number of units produced during each shift for two different products, Product X and Product Y.
| Items | ||
| Shift | Product X | Product Y |
| A | 90 | 30 |
| B | 65 | 45 |
| C | 55 | 70 |
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QUESTION 2
The following is the probability distribution of the number of customers buying bicycle accessories at a particular shop in one day.
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | |
| 0.05 | 0.10 | 0.15 | 0.25 | 0.30 | 0.05 |
(14 marks)
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QUESTION 3
A machine produces parts of which 8% are defective. If a random sample of 10 parts produced by this machine contains two or more defectives, the machine is shut down for repairs. Find the probability that the machine will be shut down based on this sampling plan.
(4 marks)
QUESTION 4
The number of students coming in complaining of stomach problems during a typical day at the Student Health Center is Poisson distributed with mean . If the probability that no student comes in complaining of stomach problems in one day is 0.015.
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