A company manufactures cell phone chargers. In August, a random sample of 200 chargers were inspected, and 3 were found to be defective. The company manufactured 14,600 cell phone chargers in August. Based on the results from the sample, about how many cell phone chargers are expected to be defective out of all the chargers produced in August?
A company manufactures cell phone chargers. In August, a random sample of 200 chargers were inspected, and 3 were found to be defective. The company manufactured 14,600 cell phone chargers in August. Based on the results from the sample, about how many cell phone chargers are expected to be defective out of all the chargers produced in August?
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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Question
A company manufactures cell phone chargers. In August, a random sample of 200 chargers were inspected, and 3 were found to be defective. The company manufactured 14,600 cell phone chargers in August.
Based on the results from the sample, about how many cell phone chargers are expected to be defective out of all the chargers produced in August?
Expert Solution
Step 1
Let X be the number of defectives from the binomial distribution with probability (p) = 3/200 and sample size (n) = 14600
Then,
We will find the expected detective charger in August or E(X) = ?
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