# Question

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective.

(a) Compute the probability that two randomly selected chips are defective using conditional probability.

(b) There are 50 defective chips out of 10,000 shipped. The probability that the ﬁrst chip randomly selected is defective is 50/10,000 = 0.005 = 0.5%. Compute the probability that

two randomly selected chips are defective under the assumption of independent events. Compare your results to part (a).

Conclude that, when small samples are taken from large populations without replacement, the assumption of independence does not signiﬁcantly affect the probability.

(a) Compute the probability that two randomly selected chips are defective using conditional probability.

(b) There are 50 defective chips out of 10,000 shipped. The probability that the ﬁrst chip randomly selected is defective is 50/10,000 = 0.005 = 0.5%. Compute the probability that

two randomly selected chips are defective under the assumption of independent events. Compare your results to part (a).

Conclude that, when small samples are taken from large populations without replacement, the assumption of independence does not signiﬁcantly affect the probability.

## Answer to relevant Questions

Suppose that a poll is being conducted in the village of Lemont. The pollster identiﬁes her target population as all residents of Lemont 18 years old or older. This population has 6494 people. (a) Compute the probability ...Let’s Make a Deal In 1991, columnist Marilyn Vos Savant posted her reply to a reader’s question. The question posed was in reference to one of the games played on the gameshow Let’s Make a Deal hosted by Monty ...Find the value of permutation. 8P3 Find the value of combination. 48C3 A Social Security number is used to identify each resident of the United States uniquely. The number is of the form xxx–xx–xxxx, where each x is a digit from 0 to 9. (a) How many Social Security numbers can be ...Post your question

0