SOLUTION: Q. The quality control department of a manufacturing tested the most recent batch of 1000 catalytic converters produced and found 50 of them defective. Subsequently, an employee un

Algebra ->  Probability-and-statistics -> SOLUTION: Q. The quality control department of a manufacturing tested the most recent batch of 1000 catalytic converters produced and found 50 of them defective. Subsequently, an employee un      Log On


   

Question 1159757: Q. The quality control department of a manufacturing tested the most recent batch of 1000 catalytic converters produced and found 50 of them defective. Subsequently, an employee unwittingly mixed the defective converters in with the non-defective ones. If a sample of three converters is randomly selected from the mixed batch, what is the probability is distribution of the number of defective converters in the sample?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
I think you are asking for the probability distribution of the number of defective converters in the sample.

for 0 it is 50C0*950C3/1000C3=0.8572
alternatively, probability of non defective is (950/1000)(949/999)(948/998)=0.8572
for 1 it is 50C1*950C2/1000C3 or 50 ways to choose the single defective and choose 2 out of 950 is 950C2
probability is 0.1356
for 2 it is 50C2*950C1/1000C3
=0.0070
for 3 it should be the remainder
50C3/1000C3=0.0001
(rounding makes total 0.9999