Question

Can you please answer questions from Exercise 11-7 E through L and questions from Exercise 11-8 A through E

b. The sum of two fair dice being 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12 c. A coin landing heads or tails when flipped d. A coin landing heads or tails when spun on its side c. A tennis racquet landing with the label up or down when spun on its end f. Your grade in this course being A, B, C, D, or F Exercises Exercise 11-6: Random Cell Phones Suppose that three executives bump into each other in an elevator and drop their identical cellular phones as the doors are closing, leaving them with no alternative but to pick up a phone at random. a. Describe in detail how you could conduct a simulation of this situation to produce empirical estimates of the probabilities involved. b. List all the possible outcomes in the sample space for this situation. (Hint: Compare it to the random babies scenario in Activity 11-1.) c. Use the sample space to determine the probability that • Nobody gets the correct phone. • Exactly one person gets the correct phone. • Exactly two people get the correct phone. . All three people get the correct phone. • At least one person gets the correct phone. d. If this situation were to befall a group of five people, you could calculate the probability that nobody gets the correct phone as 11/30. Explain in your own words what this probability means about the likelihood of nobody getting the correct phone. Include the long-run interpretation of probability in your answer and relate your response to the situation's context. & Whether or not California experiences a catastrophic earthquake within the next year h. Whether or not your waitress or waiter brings you the correct meal you ordered in a restaurant i. Whether or not there is intelligent life on Mars j. Whether or not a woman will be elected president in the next U.S. presidential election k. Whether or not a woman will be elected president before the year 2100 I. Whether a Reese's Pieces candy selected at random is orange, yellow, or brown Exercise 11-8: Interpreting Probabilities Explain in your own words what is meant by the following statements. Include the long-run interpretation of probability in your answer, and relate your response to the situations context. a. There is a 3 probability of rain tomorrow. b. Your probability of winning at a daily number lottery game is 1/1000. c. The probability that a five-card poker hand contains four of a kind is.00024. d. The probability of getting a red M&M candy is.2. c. The National Climatic Data Center estimates a 70% probability of having a white Christmas in Minneapolis. Exercise 11-7: Equally Likely Outcomes Indicate which of the following scenarios have outcomes that are equally likely. Provide a brief justification in each case. a. Whether or not a fair die lands on 1. 2. 3. 4. 5. or 6

Answer 1

11.7 > Equally likely events have the same theoritical probability of occuring Tennis quet can land either up or down. So equal probability in land up or land down. So; equally likely events. 147 You can get any of the grades (A, B, C, D, F) in your course, grades can be any one of 5 so; equally likely event. lake wild can happen or cannot happen are 2 posse bilities and each can key occur with probability & Hence equally likely events. hy Waiter can bring correct meal or can mistakenly bring incorrect meal; both can occur with I probability . Hence equally likely events i) There can be life on Mars but yet to be discovered or no life; since no certainity is established about life on Mars, Herce; equally likely events jy There can be a woman president or cannot be a woman president: Everything in based on votes! So elected president in next election will be or will not be woman is equally probable. fence equally likely events. ca k> Equally likely events & as no one knows what the presideent's gender will be tall 2100. It can be masce or female tenen equally likely evento

ex NOTA The candy at randem can be any of 3 colours. Any colour can come up with equal probabe life of t. Hences equally likely eventi 1.8 a) There Wash ay there is a at will be a rainy day, de 30%-p chance that tomorrow vop I 67 out of 1000 daily number uedat 1000 o lottery game you exeupate can win at at a I game game og and tre rus c7 If we have 100000 poker hands & card) u a four of a kind combination will we f only come up 24 times. terrani ws. dy out of 10 M&M candies, red. I ones come up only twice ey out of too Christmas at Minneapolis, TO Christmas so will be white as w e Christmas it is estimated by National Climatic Date Center