For the following, a manufacturing firm produces parts on two machines. Machine
ID: 3231842 • Letter: F
Question
For the following, a manufacturing firm produces parts on two machines. Machine A produces 75% of the parts while the rest are produced on machine B.Also, 6% of the parts produced by machine A are defective while 4% of the parts produced by machine B are defective. (a)For the following, a manufacturing firm produces parts on two machines. Machine A produces 75% of the parts while the rest are produced on machine B.
Also, 6% of the parts produced by machine A are defective while 4% of the parts produced by machine B are defective. (b) What is the probability that a part is defective? (c) What is the probability that a part is produced by machine B given that it is defective? For the following, a manufacturing firm produces parts on two machines. Machine A produces 75% of the parts while the rest are produced on machine B.
Also, 6% of the parts produced by machine A are defective while 4% of the parts produced by machine B are defective. (a)For the following, a manufacturing firm produces parts on two machines. Machine A produces 75% of the parts while the rest are produced on machine B.
Also, 6% of the parts produced by machine A are defective while 4% of the parts produced by machine B are defective. (b) What is the probability that a part is defective? (c) What is the probability that a part is produced by machine B given that it is defective? For the following, a manufacturing firm produces parts on two machines. Machine A produces 75% of the parts while the rest are produced on machine B.
Also, 6% of the parts produced by machine A are defective while 4% of the parts produced by machine B are defective.
Explanation / Answer
(a)
(b) P(Defective) = 5.5/100 = 0.055
(b) P(Machine B | Defective) = (1/100)/(5.5/100) = 0.1818
Defective Not defective Total Machine A 6% of 75 = 4.5 75 - 4.5 = 70.5 75 Machine B 4% of 25 = 1 25 - 1 = 24 25 Total 5.5 94.5 100