Question 126) An urn contains 7 blue and 3 yellow chips. If the dra

126) An urn contains 7 blue and 3 yellow chips. If the drawing of chips is done with replacement, determine the probability of:

(a) drawing three yellow chips.

(b) drawing a blue chip on the first draw and a yellow chip on the second draw.

(c) drawing a blue chip on the second draw given that a yellow chip was drawn on the first draw.

(d) drawing a yellow chip on the second draw given that a blue chip was drawn on the first draw.

(e) drawing a yellow chip on the second draw given that a yellow chip was drawn on the first draw.

127) A market research study is being conducted to determine if a product modification will be well received by the public. A total of 1,000 consumers are questioned regarding this product.

The table below provides information regarding this sample.

(a) What is the probability that a randomly selected male would find this change unfavorable (negative)?

(b) What is the probability that a randomly selected person would be a female who had a positive reaction?

(c) If it is known that a person had a negative reaction to the study, what is the probability that the person is male?

128) In a production run of 300 units, there are exactly 20 defective items and 280 good items.

(a) What is the probability that a randomly selected item is defective?

(b) If two items are sampled without replacement, what is the probability that both are good?

(c) If two items are randomly sampled without replacement, what is the probability that the first is good but the second is defective?

129) A new television program was viewed by 200 people (120 females and 80 males). Of the females, 60 liked the program and 60 did not. Of the males, 60 of the 80 liked the program.

(a) What is the probability that a randomly selected individual liked the program?

(b) If a male in this group is selected, what is the probability that he liked the program?

(c) What is the probability that a randomly selected individual is a female and liked the program?

130) Colonel Motors (an automobile company) has prepared a marketing campaign for its best selling car. The focus of the campaign is quality, and it is claimed that 97 percent of the purchasers of this car have no complaints in the first year. You and your sister Kim have each purchased one of these cars.

(a) What is the probability that neither of you has a complaint about the car in the first year if the advertising claim is true?

(b) What is the probability that exactly one of you has a complaint about the car in the first year if the advertising claim is true?

131) A local “home TV repair service” company has two repairmen who make all of the home repairs. The company sends Repairman D on 70 percent of all jobs, because the likelihood of a “second follow-up call” within a week is only 0.08 compared to 0.20 for Repairman K. If you had a recent repair job that is going to require a second follow-up call, what is the probability that Repairman K did your initial repair work?

132) Our department store is having a sale on personal computers, of which three are in stock (no rain checks). There is a certain probability of selling none. The probability of selling one is twice as great as the probability of selling none. The probability of selling two is three times the probability of selling none. Finally, the probability of selling all the personal computers is four times as great as the probability of selling none. In a table, list the outcomes and their probabilities. Hint: Let the probability of selling none equal x.

133) ABC Manufacturing has 6 machines that perform a particular task. Breakdowns occur frequently for this machine. Past records indicate that the number of breakdowns that occur each day is described by the following probability distribution:

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