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Determine the probability that tomorrow’s output will have atleast one defective part? Over the past 200 working days, the number of defective parts produced by a machine is given in the following table:
Number of defective parts 0 1 2 3 4 5 6 7 8 9 10 11 12 13
Days 50 32 22 18 12 12 10 10 10 8 6 6 2 2

Solution:

Given, the table represents the number of defective parts produced by a machine over the past 200 working days.

We have to determine the probability that tomorrow’s output will have at least one defective part.

Probability of an event = Number of trials in which the event has happened / Total number of trials

From the given table,

Number of days which has at least one defective part = 50 + 32 + 22 + 18 + 12 + 12 + 10 + 10 + 10 + 8 + 6 + 6 + 2 + 2

= 150

So, number of trials in which the event has happened = 150

Total number of trials = 200

Probability that tomorrow’s output will have at least one defective part = 150/200

= 75/100

= 3/4

= 0.75

Therefore, the probability that tomorrow’s output will have at least one defective part is 0.75

✦ Try This: Over the past 300 working days, the number of defective parts produced by a machine is given in the following table:

Number of defective parts	0	1	2	3	4	5	6	7	8	9	10	11	12	13
Days	100	32	22	18	12	12	20	20	25	8	11	11	7	2

Determine the probability that tomorrow’s output will have at least one defective part?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 19(ii)

Determine the probability that tomorrow’s output will have atleast one defective part? Over the past 200 working days, the number of defective parts produced by a machine is given in the following table: Number of defective parts 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Days 50 32 22 18 12 12 10 10 10 8 6 6 2 2

Summary:

Over the past 200 working days, the number of defective parts produced by a machine is given in the table. The probability that tomorrow’s output will have atleast one defective part is 0.75

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