There is a board game in which players are given the opportunity to solve a murder that has six suspects, seven possible weapons, and seven possible rooms where the murder may have occurred. The six suspects are Professor Plum, Mrs. White, Mrs. Peacock, Mrs. Yellow, Mr. Johnson, and Miss Clancy. Determine a sample space for the choice of murderer. Discuss how to form a sample space with the entire solution to the murder, giving murderer, weapon, and site. Complete parts below. () through (c) Choose the correct sample space for the choice of murderer below. OA. (0) O B. (Professor Plum, Mrs. White, Mrs. Peacock} O C. (Professor Plum) ⒸD. {Professor Plum, Mrs. White, Mrs. Peacock, Mrs. Yellow, Mr. Johnson, Miss Clancy} (a) Discuss how to form a sample space with the entire solution to the murder, giving murderer, weapon, and site. How many outcomes would the sample space for the entire solution have? Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) O A. To form a sample space with the entire solution, add the number of elements in each sample space. The sample space would have outcome(s). outcome(s). O B. To form a sample space with the entire solution, multiply the number of elements in each sample space. The sample space would have OC. To form a sample space with the entire solution, add the number of elements in each sample space, and subtract the sum from 1,000. The sample space would have outcome(s). OD. The sample space for the entire solution is equal to the sample space for the choice of murderer. So, the sample space would have outcome(s). Let E be the event that the murder occurred in the library. Let F be the event that the weapon was a gun. (b) Describe EnF. Choose the correct answer below. C OA. The murder occurred in a room other than the library with the gun. OB. The murder occurred in the library with the gun. O C. Either the murder occurred in the library or it was done with a gun. OD. The murder occurred in the library with a weapon other than the gun.

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…

nick and Casey are playing darts on the board that has five regions labeled  a, b, c, d, and e   in which of the regions is a dart most likely to fall?

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.

Jamal has five comic books, four novels, and three biographies. He wants to choose one comic book, one novel, and one biography randomly. How many total outcomes are in this sample space?

Four puppies, Bruno, Kitty, O'Reilly, and Sweetie, competed in the Annual Puppies of the World Fair. Prizes were awarded for the top three competitors as follows: first place received a Red Ribbon, second place received a Yellow Ribbon, and third place received a Blue Ribbon. Three members of the audience predicted how the prizes would be awarded. • Lucie predicted that Sweetie would win a Red Ribbon, Kitty would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Jenn predicted that Bruno would win a Red Ribbon, Sweetie would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Brenton predicted that Kitty would win a Red Ribbon, Bruno would win a Yellow Ribbon, and Sweetie would win a Blue Ribbon. It turns out that each audience member predicted exactly one prize winner correctly. Determine which dog won which prize.

In a recent survey, 75 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 39 liked them mashed, 39 liked French fried, and 33 liked twice baked potatoes. Additionally, 21 students liked both mashed and fried potatoes, 26 liked French fries and twice baked potatoes, 19 liked mashed and baked, and 12 liked all three styles. How many students hate potatoes? Explain why your answer is correct.