Q. 6. From a lot of bulbs which include defectives, a sample of bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs.
Total bulbs = 30
defective bulbs = 6
Non defective bulbs
bulbs is drawn at random with replacement.
Let X : number of defective bulbs
4 Non defective bulbs and 0 defective bulbs :
3 Non defective bulbs and 1 defective bulbs :
2 Non defective bulbs and 2 defective bulbs :
1 Non defective bulbs and 3 defective bulbs :
0 Non defective bulbs and 4 defective bulbs :
the probability distribution of the number of defective bulbs is as :
X | 0 | 1 | 2 | 3 | 4 |
P(X) |