Suppose that 10 people, including you and a friend, line up for a group picture. How many ways can the photographer rearrange the line if she wants to keep exactly three people between you and your friend?
Suppose that 10 people, including you and a friend, line up for a group picture. How...
1. (10 points) Your friend owns a cabin in the mountains. Your friend likes to keep it vacant during the year, so that your friend can drive up and enjoy the cabin any time she wants to. You tell your friend that leaving the cabin vacant must be very expensive each year. Your friend says that there is no cost because she owns the cabin. Please explain why your friend is wrong. 1. (10 points) Your friend owns a cabin...
There are 10 people in a wedding party, in addition to the bride and groom. Photographer lines these 12 people for a memorable photo. In how many different ways photographer can do that, so that bride and groom are next to each other? Explain your solution (but you can leave the answer as a formula).
Suppose that a committee of 3 people is chosen from 10 people, including Josh. (a) How many total committees are there? (b) How many committees include Josh? (c) Does it seem likely Josh will be chosen for the committee if it is done randomly? Explain
Twenty people apply for seven jobs that are available at Fly-By-Night Aircraft Manufacturing Co. a. In how many different ways could such a group of seven people be composed?b. Twelve of the applicants are men and the rest are women. How many of these seven-person groups have exactly three men? C. How many of these seven-person groups have exactly three men or exactly three women? d. What is the probability that a group of seven selected at random will have exactly three men or...
A friend tells you that she has conducted a survey to find the proportion of people in her university that utilize the campus internet cafe at least once a day. She has collected a sample and calculated a sample proportion of β = 0.34. She uses this value to calculate a confidence interval for the population proportion. Your friend says that she is not going to tell you the sample size or the level of confidence used in her construction,...
A group consist of 10 Democrats and 14 Republicans. How many ways are there of making a committee of a) 7 people? b) 5 Democrats and 2 Republicans? c) 7 Democrats. d) How many committees can you form if three people, Ann, Bob, and Carol, will not serve together?
A friend tells you that she has conducted a survey to find the proportion of people in her university that utilize the campus internet cafe at least once a day. She has collected a sample and calculated a sample proportion of Ô = 0.54. She uses this value to calculate a confidence interval for the population proportion. Your friend says that she is not going to tell you the sample size or the level of confidence used in her construction,...
Thirteen people on a softball team show up for a game. (a) How many ways are there to choose 10 players to be in the game? (b) How many ways are there to assign 10 people out of the 13 to the various positions on the field? (c) Of the 13 people, three are college students. How many ways are there to choose 10 players to take the field if at least one of these players must be a college...
Suppose that 12% of adults are classified as hypertensive. For people that are truly hypertensive the probability of a positive test is 0.85. Also, for people that are not truly hypertensive the probability of a positive test is 0.24. What is the probability that an individual is not hypertensive? A test on probability is to be given next Friday. Suppose that 80 percent of the students study for the test and 20 percent do not. If a student studies for...
You are in a student organization with 17 different members. Your group wants to form a fundraising committee, consisting of one person who will serve as chair of the committee and four OTHER people (committee will have a total of 5 different people). In how many different ways can your group form this committee?