Question

Probability that a bolt is defective is 10% .What is the chance that at of 5 b.1b selected exactly 3 are defective​

Answer 1

Answer:

x = bolt manufactured by company A.

y = bolt manufactured by company B.

z = bolt manufactured by company C.

w = defective bolt drawn.

P(x)=

10

3

,P(y)=

2

1

,P(z)=

5

1

P(w∣x)=

100

3

,P(w∣y)=

100

4

,P(w∣z)=

100

1

Probability that defective bolt is drawn from machine B.

P(y∣w)=

P(x).P(w∣x)+P(y).P(w∣y)+P(z).P(w∣z)

P(y).P(w∣y)

P(y∣w)=

31

20

Probability that it is not manufactured by B =1−

31

20

=

31

11

.