SOLUTION: The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He
selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of t
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selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of t
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Question 1190725: The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He
selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of the 100
TVs in the current lot are defective, find the probability that exactly 2 of the 5 TVs selected by
the engineer are defective. Answer by ikleyn(52784) (Show Source):
You can put this solution on YOUR website! .
The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He
selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of the 100
TVs in the current lot are defective, find the probability that exactly 2 of the 5 TVs selected by
the engineer are defective.
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In all, there are = = 75287520 different quintuples,
i.e. sets of 5 TVs taken at a time from 100 TVs.
It is the size of the space of events in this problem.
Of them, the number of the quintuples that have exactly 2 defective and 3 good TVs, is
= = 15*134044 = 2010660.
Therefore, the probability under the problem's question is the ratio
P = = = 0.02671 (rounded). ANSWER
