SOLUTION: A quality control engineer tests the quality of produced computers Suppose that 5% of computers have defects and defects occur independently of each other.
(a) Find the probabil
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(a) Find the probabil
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Question 408149: A quality control engineer tests the quality of produced computers Suppose that 5% of computers have defects and defects occur independently of each other.
(a) Find the probability of exactly 3 defective computers in a shipment of 20.
(b) Find the probability that the engineer has to test atleast 5 computers in order to find 2 defective ones. Answer by ewatrrr(24785) (Show Source):
Hi
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p = .05 & q = .95
nCx =
a) P(exactly 3 of 20 being defective computers) = 1140(.05)^3(.95)17 = .0596
(b) P( test at least 5 computers to find 2 defective ones)
P = 1 - (.05)^0*(.95)^5 + 5*(.05)^1*(.95)^4 = .0226
