CASE STUDY CHALLENGE
Probability: Defective Bulbs Analysis
A factory produces bulbs, of which 6% are defective bulbs in a large bulk of bulbs.
Based on the above information, answer the following questions:
Answer the following:
| (i) | Find the probability that in a sample of 100 bulbs selected at random, none of the bulbs is defective. (Use: e-6 = 0.0024). | [1] |
| (ii) | Find the probability that the sample of 100 bulbs has exactly two defective bulbs. | [1] |
| (iii) | (a) Find the probability that the sample of 100 bulbs will include not more than one defective bulb.
— OR —
(b) Find the mean and the variance of the distribution of number of defective bulbs in a sample of 100 bulbs. |
[2] |