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 :No. of defective bulbs0123456more than 6frequency400180484118832One carton was selected at random. The probability of defective bulbs being less than 4 is

Engineering

Mathematics

Conditional Probability

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 :

No. 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. The probability of defective bulbs being less than 4 is

$\frac{89}{700}$

$\frac{432}{700}$

$\frac{600}{700}$

$\frac{669}{700}$

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P(carton having defective bulbs less than 4)

= 1 − P(carton having defective bulbs greater than or equal to 4)

= 1 - \frac{18 + 8 + 3 + 2}{700} = 1 - \frac{31}{700} = \frac{669}{700}

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