Homework SourseIf the probablity of products produced by machine ABC is 04
If the probablity of products produced by machine A,B,C is 0.4 , 0.2 ,0.6 and the probability of deflect of each machine is p(d|a
A) = 0.03 , p(d|B) = 0.04 , p(d|C) = 0.05.
What is the probability of a product selected at random and it it deflected ?
If the probablity of products produced by machine A,B,C is 0.4 , 0.2 ,0.6 and the probability of deflect of each machine is p(d|a
A) = 0.03 , p(d|B) = 0.04 , p(d|C) = 0.05.
What is the probability of a product selected at random and it it deflected ?
A) = 0.03 , p(d|B) = 0.04 , p(d|C) = 0.05.
What is the probability of a product selected at random and it it deflected ?
Solution
Let defected event be denoted by D.
P(D | A) = 0.03
P(D | B) = 0.04
P(D | C) = 0.05
Using the total probability theorem:
P(D) = P(D | A)*P(A) + P(D | B)*P(B) + P(D | C)*P(C)
= 0.03*0.4 + 0.04*0.2 + 0.05*0.6 = 0.05
