SOLUTION: A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs are defective. A batch typically has five defective

Algebra ->  Probability-and-statistics -> SOLUTION: A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs are defective. A batch typically has five defective       Log On


   

Question 865458: A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs are defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is ??
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

p(def) = 5/100 = .05,   n = 4

P(x = 0) = .95^4

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs are defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is ??
-------
Accepted if none of the 4 chosen bulbs is defective.
----
Binomial Problem with n = 4 and p(not defective) = 0.95
Ans:P(x = 4 non defective) = 0.95*4 = 0.8145
==============
Cheers,
Stan H.