Home
Class 12
MATHS
It is known that 10% of certain articles...

It is known that 10% of certain articles manufactured are defective. What is the probability that in a random sample of 12 such articles, 9 are defective?

Text Solution

Verified by Experts

required probability is
`P(9/12) = .^12C_9(1/10)^9(9/10)^3`
`= (12*11*10)/(3*2) * (1/10)^9(9/10)^3`
`= 22* 9^3/10^11 `
answer
Promotional Banner

Similar Questions

Explore conceptually related problems

If 2% of pipes manufactured by a company are defective, the probability that in a sample of 1000 pipes exactly 6 pipes are defective is

In a box containing 60 bulbs 6 are defective . What is the probability that out of a sample of 5 bulbs (i) none is defective (ii) exactly 2 are defective ?

There are 5% defective items in a large bulk of items.What is the probability that a sample of 10 items will include not more than one defective item?

In a box containing 100 bulbs, 10 are defective. What is the probability that out of a sample of 5 bulbs, (i) none is defective and (ii) exactly 2 are defective ?

The bulbs produced in a factory are supposed to contain 5% defective bulbs . What is the probability that a sample of 10 bulbs will contain not more than 2 defective bulbs?

If ten percent of the tools produced in a factory turnout to be defective then the probability that in a sample of 10 tools chosen at random; exactly two will be defective by using poisson distribution is

A box contains 10 sample watches, 2 of which are defective. If 2 are selected at random, the probability that both selected are defective is,