Question

Bulbs are packed in cartons each containing 40 bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table:

Number of defective bulbs	0	1	2	3	4	5	6	more than 6
Frequency	400	180	48	41	18	8	3	2

One carton was selected at random. What is the probability that it has defective bulbs from 2 to 6?

Answer 1

Total number of cartons, n(S) = 700

Number of cartons which has defective bulbs from 2 to 6, 

n(E₂) =  48 + 41 + 18 + 8 + 3 = 118

∴ Probability that the defective bulbs from 2 to 6 = `(n(E_2))/(n(S)) = 118/700 = 59/350`

Hence, the probability that the defective bulbs from 2 to 6 is `59/350.`