SOLUTION: A population consists of 15 items, 10 of which are acceptable. In a sample of 4 items, what is the probability that exactly three are acceptable? Assume the samples are drawn witho

Question 199456: A population consists of 15 items, 10 of which are acceptable. In a sample of 4 items, what is the probability that exactly three are acceptable? Assume the samples are drawn without replacement.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A population consists of 15 items, 10 of which are acceptable. In a sample of 4 items, what is the probability that exactly three are acceptable? Assume the samples are drawn without replacement.
---------------------
# of ways to pick 3 "acceptable": 10C3 = 120
# of ways to pick 1 not acceptable: 5C1 = 5
------------
# of ways to pick 4 where exactly 3 are acceptable: 120*5 = 600
# of ways to pick 4 with no restrictions: 15C4 = 1365
----------
Probability that you want = 600/1365 = 40/91
====================================================
Cheers,
Stan H.
RELATED QUESTIONS
A population consists of 15 items, 10 of which are acceptable. In a sample of 4 items,... (answered by stanbon)

A population consists of 15 items, 10 of which are acceptable. In a sample of four... (answered by Fombitz)

say that there are three defective items in a bag of 50 items. a sample of 10 items is... (answered by Boreal)

suppose that 5 percent of all items produced are defective out of 15 randomly selected... (answered by stanbon)

7.Ten percent of the items produced by a machine are defective. Out of 15 items chosen at (answered by stanbon)

A production process is known to produce 10% defectives. A buyer purchases 30 of these... (answered by Boreal)

10% of items produced by a manufacturer are defective. 1. Find the probability that for... (answered by ewatrrr)

If 10 samples (items) are chosen from a population with defect rate = 0.3, what is the... (answered by jim_thompson5910)