Probability Help on problem 30 parts a b and c Please explai

Probability Distributions 06 Chapter 6 Exercises c. Consider a random sample of 16 U.S i. What is the expected number of household annualincones ofless thanssoooperyer between gourmet coffee and ordinary coffee to identify Make a probability distribution of the number who 27. Suppose you ask six people who can\'t tell the difference i. What is the standard deviation of the eal of hosseholds with annul incomes of lesth What is the probability of getting at least 10 which is the gourmet coffee. correctly identify the gourmet coffee. Then make a b. Compute and interpret the mean of the distribution d. Now suppose you ask six randomly selected people a. graph of the distribution and describe its shape. ili. out of the 16 households with annual incomes Compute and interpret the standard deviation of the of less than $50,000 per year? c. d. In a sample of 16 U.S. households, suppose none had annual incomes of less than $50,000 per year who claim they can tell the difference between gour- What might you suspect about this coffee to identify which is ernment of Botswana, so you will have to guess all the answers. You need to have at least 60% of the answers correct to pass. Would you rather have a 5-question qui or a 20-question quiz? Explain your reasoning, referring the gourmet coffece and they all get it right. Do you E31. You neglected to study for a true-false quiz on the gow. have cause to believe that people who think they can tell the difference really can? E28. According to a recent United States Census Bureatu report, 13.2% of the population live below the pow. erty level. You plan to randomly sample 25 Americans. Source: U.S. Census Bureau, 2008 American Comma nity Survey, issued September 9,2009 aces goe 6.36 Commu E32. You want to survey randomly selected students on your campas to estimate the proportion who voted in the last clection for student body president. You think the bon is around 50%. Use Display 636 to explain why its better to have a sample of size 20 than a sample of size 5. What is the probability that your sample will include at least two people with incomes below the poverty level? a. What are the expected value and standard devia- tion of the umber of people in your sample with incomes below the poverty level You want to see if the percentage of132% holds b. E33. You buy 15 lottery tickets for $1 each. With each ticket, you have a 0.06 chance of winning S10. Taking into account the cost of the tickets, a. what is the a. what i the probability that you will gain $10 or more? for the region in which you live. You take a randoen sample of 25 people from your region. How many people in your sample woald have to live below the poverty level before you have reason to belleve that the percentage in your region is higher than 13.2%2 b. what is your expected gain (or loss) on this purchase? what is the standard deviation of your gain? e. E34. An oil exploration firm is to drill ten wells, each in a different location. Each well has a probability of 0.1 of producing oil. It will cost the firm $60,000 to drill each well. A successful well will bring in oil worth S1 million. Taking into account the cost of drilling, a. what is the firm\'s expected gain from the ten wells? b. what is the standard deviation of the firm\'s gain for E29. According to the US Census Bureau, about 15% of residents have no health insurance. You are to randomly sample 20 residents for a survey on health insurance cor- erage. (Source U.S. Censas Bureau, 2008 American Com- munity Survey, issued September 9, 2009,www.censas. go) a. What is the probability that your sample will include at least three people who do not have health insurance? c. what is the probability that the firm will lose money b. Compute and interpret the expected value and sample without health insurance standard deviation of the number of people in your what is the probability that the firm will gain $1.5 million or mote from the ten wells? d. c. If you plan to interview the residents in your sample without health insurance coverage and each inter view will take 45 minutes, how many hours do you expect to spend interviewing? What is the standard deviation of the time spent interviewing? d. If your sample contains five or more people who do not have health insurance, do you have reason to doubt the estimate of 15%given by the Census Breau? 2008 American Community Survey, issued Sepeember 9, hoasehold has a yearly income less than $50,000 E30. The median annual houschold income for U.S. house- holds is about Sad00 |Source: US Census Bureau. 2009, a. What is the probability that a randoenly selected h. Among five randomly selected U.S. households, find the probability that four or more have incomes less than $50,000 per year

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