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
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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.
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