SOLUTION: A manufacturing process produces 5 percent defective items. What is the probability that in a sample of 50 items: a. 10 percent or more will be defective? (Round your

Question 913255: A manufacturing process produces 5 percent defective items. What is the probability that in a sample of 50 items:

a. 10 percent or more will be defective? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

Probability

b.
less than 1 percent will be defective? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

Probability

c. more than 10 percent or less than 1 percent will be defective? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

Probability

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
a) z(0.10) = (0.10-0.20)/sqrt[0.2*0.8/50]
P(x >= .10) = 1 - P(z < -1.77) = 1 - .0384 = .9616
b) z(0.01) = (0.01-0.20)/sqrt[0.2*0.8/50]
P(x < .01) = P( z < -3.36) = .0004
c) more than 10 percent or less than 1 percent will be defective: sum of a) and b)
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