A false-positive in a polygraph test, that is, an individual who fails a lying-detector test even though they are telling the truth, has a probability of 15 %. Consider the experiment of administering a lie-detector or polygraph test (these are synonyms or words that have the same meaning in common usage) to a group of randomly selected people and recording false-positives. i) What is the probability that the first false-positive will occur when the third person is tested? ii) What is the probability that fewer than 4 people are tested before the first false-positive occurs? iii) What is the probability that more than 3 people are tested before the first false-positive occurs? iv) What is the expected value of false-positives? v) What is the variance in this experiment?

In a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in an apartment off campus. A.What is the probability a randomly selected student lives off campus? B. Explain why this is an example of empirical probability.

Coronary bypass surgery: A healthcare agency reported that 54% of people who had coronary bypass surgery in 2008 were over the age of 65. Sixteen coronary bypass patients are sampled. (a)What is the probability that exactly 10 of them are over the age of 65? (b)What is the probability that more than 11 are over the age of 65? (c)What is the probability that fewer than 7 are over the age of 65? (d)Would it be unusual if all of them were over the age of 65? Use a cutoff of 0.05.  Thank you!

A. When rolling 10 dice, what is the probability of rolling 7 sixes? How does this compare to the probability of rolling 7 dice with five or higher? Explain the difference. B. With two dice, what is the chance of rolling snake eyes (double 1's)? what is the chance of rolling doubles of any kind?

17. Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older) was asked, "When you see an ad emphasizing that a product is 'Made in America,' are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group are presented in the following contingency table 18-34 35-44 45-54 55+ More likely 238 329 360 402 1329 Less likely 22 22 16 66 282 Neither more 201 164 118 765 nor less likely Total 542 536 546 536 2160 Source: The Harris Poll

Coronary bypass surgery: A healthcare agency reported that 84% of poeple who had coronary bypass surgery in 2008 were over the age of 65. Fourteen coronary bypass patiens are sampled. (a) What is the probability that exactly 8 of them are over the age of 65?