SOLUTION: Please help in answering this question. The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He selects 5 of the 100 TVs at random and inspec

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Question 252819: Please help in answering this question.
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 ofte 100 TVs in the current lot are defective, find the probability that the number of defective TVs obtained by the engineer is
a. exactly one
b. at most one
c. at least one
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help in answering this question.
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.
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Binomial: n = 5 ; p = 0.06 ; x varies
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Assuming that 6 of the 100 TVs the current lot are defective, find the probability that the number of defective TVs obtained by the engineer is
a. exactly one
P(x=1) = 5C1(0.06)(0.94)^4 = 0.2342
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b. at most one
P(x=0 or 1) = 0.7339 + 0.2342 = 0.9681
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c. at least one
P(x>=1) = 1- P(x=0)
1 - 5C0(0.06)^0*(0.94)^5
= 1 - 1*1*(0.94)^5
= 1 - 0.7339
= 0.2661
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Cheers,
Stan H.