Answer in Statistics and Probability for Nk #119420
January 23rd, 2023
A : Bolt Manufactured by machine A
B : Bolt Manufactured by machine B
C : Bolt Manufactured by machine C
D : Bolt is defective
We need to find the probability that the bolt is manufactured by machine C , if it is defective i.e. “P(C/D)”
P(A) = 0.25, “P(D/A)=0.07”
“P(B) = 0.30”, “P(D/B)=0.06”
“P(C) = 0.45”, “P(D/C)=0.04”
“P(C / D) = frac{P( D / C) P(C) }{P(A) P(D / A)+P(B)P(D / B)+P(C)P(D /C)}”
“P(C/D) = frac {(0.04).(0.45)}{(0.25).(0.07)+(0.30).(0.06)+(0.45).(0.04)} = frac{36}{107}”