1) You have a sample of 9 flowers from pea plants. (a) Suppose 7 of them are white, and 2 of them are purple. If you line them up in a row, how many different arrangements can you get? Note: WWWWWWWPP is one arrangement, WPWPWWWWW is another arrangement, and so on. You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this. (b) Now suppose 2 of them are white and 7 of them are purple. How many different arrangements can you get? (c) How many arrangements do you have for 1 white and 8 purple? (d) How many arrangements do you have for 0 white and 9 purple?

A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the expected and observed counts? Select one. Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D %3D Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons

Suppose I gave you a bag of M&M’s, but I didn’t let you see the original packaging so you can’t determine which plant made the M& M’s.  Your job is to count the number of candies of each color in your bag and figure out which plant made your bag.  What test should you do to determine this?

People often match their behavior to their social environment. One study of this idea first established that the type of music most preferred by black college students is R&B and that white college students' most preferred music is rock. Will students hosting a small group of other students choose music that matches the makeup of the people attending? Assign 9090 black business students at random to three equal‑sized groups. Do the same for 9696 white students. Each student sees a picture of the people he or she will host. Group 1 sees six blacks, Group 2 sees three whites and three blacks, and Group 3 sees six whites. Ask how likely the host is to play the type of music preferred by the other race. Use ANOVA to compare the three groups to see whether the racial mix of the gathering affects the choice of music.

freshmen business students at a local university produced the results listed below. How many students took history and science, but not music? 2525 took history;2222 took science;2323 took music;1919 took history but not science;1010 took science and music;1212 took history and music;44 took all three

Toward the end of a game of Scrabble you hold the letters D,O,G and Q.  You can choose three of these four letters and arrange them in order in how many different ways?

Hi, I would appreciate if you could help me with these questions please. Thank you so much in advance.

In a survey, 200 restaurants were asked to select which of the following options were on their menu: tacos, burgers. 98 of the restaurants serve tacos and 74 of the restaurants serve burgers. 37 of the restaurants serve neither of these options.  How many of the restaurants serve both tacos and burgers? Show your work.