Question

are of the items of a factory are detective. The items are
Farked in borces what is
the probability that there will
2 a defective
- At least three defective
defective intensin a
bove of soo iter
item s​

Answer 1

Answer:

ANSWER

Given, n=10,p=

100

20

=

5

1

∴q=1−

5

1

=

5

4

Let X denote the number of defective bolts chosen.

∴X=2

(i) Using Binomial distribution

P(X−2)=10C

2

(

5

1

)

2

⋅(

5

4

)

8

=

1×2

10×9

(

5

10

4

8

)=45(

5

10

4

8

)

(ii) Using Poisson distribution

λ=np=10⋅(

5

1

)=2

P(X−x)=e

−λ

∠x

λ

x

,x=0,1,2,....

P(X=2)=e

−2

∠2

2

2

=e

−2

[

1×2

4

]=e

−2

(2)

=2(0.1353)=0.2706.