Question 976449: In a shipment of 40 you will pull 3 units out and test them. If you find one defective unit, your company will send the entire shipment back. Suppose that 5 out of the 40 are actually defective.
a) What is the probability that you find zero defective units
b) What is the probability that the first unit tested is defective, the second and third units are good?
c) What is the probability that the second unit tested is defective, and the first and third units are good?
d) What is the probability that the third unit tested is defective, and the first and second units are good?
e) What is the probability that exactly one unit is defective? (To answer this, you need to add your results from parts b, c, and d.)
f) What is the probability that you find two defective units? (You need to do something similar to what you did in parts b, c, d, and e.)
g) What is the probability that you find three defective units?
I know that The sample size is 3 and the population size is 40 and you subtract the 5 from the 40 and get 35/40 to find the probability of the entire shipment being accepted, but I'm not sure how to calculate these questions.
Answer by Fombitz(32388)   (Show Source):
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