Suppose that it is known that 2% of the items produced by a particular machine are defective in some way, and that we will choose a random sample of exactly 15 parts made by this machine. a. What proportion of this machine's output is non-defective? b. What is the expected number of non-defective items, out of the 15 we select? c. What is the probability that exactly 14 of the 15 items is non-defective, GIVEN THAT more than 13 are non-defective?
Suppose that it is known that 2% of the items produced by a particular machine are defective in some way, and that we will choose a random sample of exactly 15 parts made by this machine. a. What proportion of this machine's output is non-defective? b. What is the expected number of non-defective items, out of the 15 we select? c. What is the probability that exactly 14 of the 15 items is non-defective, GIVEN THAT more than 13 are non-defective?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:Suppose that it is known that 2% of the items produced by a particular machine are
defective in some way, and that we will choose a random sample of exactly 15 parts
made by this machine.
a. What proportion of this machine's output is non-defective?
b. What is the expected number of non-defective items, out of the 15 we select?
c. What is the probability that exactly 14 of the 15 items is non-defective, GIVEN
THAT more than 13 are non-defective?
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