Math 1P98 Assignment 2 Fall 2015 Due: Monday, October 19, 2015 at 11:59 pm th Place your completed assignment in your drop box on the 4 floor of J block by due date and time. Students are expected to complete ALL questions on the assignment. However, only a subset of questions will be considered for marking. Assignments must have a cover page (refer to the course outline). Please write on one side of the page only and show ALL your work. Marks will be deducted for incomplete assignments. Answer questions with sentences; include units with your answers where appropriate. Keep three decimal places. This assignment covers Chapters 4 and 5 in the textbook. The text is Elementary Statistics Using th Excel, 5 edition. 1.Suppose two students are selected at random. a. What is the probability that the first student was born in November? b. What is the probability that both students were born in December? 2.Let E be the event that a randomly selected person in the U.S. who is over the age of 24 has attended college. Let F be the event that a randomly selected U.S. resident over the age of 24 is female. According to the U.S. Census Bureau, P(E) = 0.559 and P(F) = 0.518, and P(E and F) is 0.295. (Source: U.S. Department of Commerce, Census Bureau, Current Population Survey Data on Educational Attainment, 2010.) a. What is the probability that a randomly selected person in the U.S. over the age of 24 is a male? b. What is the probability that a randomly selected person in the U.S. over the age of 24 has not attended college? c. What is the probability that a randomly selected person in the U.S. over the age of 24 is a female or has attended college? 3.The following table gives the number (in millions) of men and women over the age of 24 at each level of highest educational attainment. (Source: U.S. Department of Commerce, Census Bureau, Current Population Survey Data on Educational Attainment, 2010.) Page 1 of 3 a. What is the probability that two randomly selected females over the age of 24 are both college graduates? b. What is the probability that two randomly selected people over the age of 24 are both women? c. Suppose four people over the age of 24 are randomly selected, what is the probability that at least one will be a college graduate? d. Suppose three people over the age of 24 are randomly selected, what is the probability that at least one will not complete high school? 4.The dial on a combination lock shows the integers 0 through 39. Turning the dial to three specific numbers (in order) opens the lock. a. How many different locks can a manufacturer produce before they have to reuse combinations, if numbers cannot be repeated in a combination? b. How many different locks can a manufacturer produce before they have to reuse the combination if numbers can be repeated in a combination? 5.A Mexican restaurant offers a combo plate where you can choose 3 items from a list of 8 possible entres. (The order of the items doesn't matter.) a. How many different combo plates can be created if an entre cannot be selected twice in the same combo plate? For example, burrito, burrito, enchilada is not allowed. b. A \"meal deal\" at the restaurant consists of one entre, one drink, and one dessert. How many different meal deals can the restaurant advertise if there are 8 possible entres, 10 choices for the drink and 4 possible desserts? 6. Many veterans who bravely served in Iraq during Operation Enduring Freedom or Operation Iraqi Freedom have developed symptoms of post-traumatic stress disorder (PTSD) or similar ailments. A large study of returning veterans showed that 52.7% of the soldiers suffered from a PTSD or similar ailment after serving in Iraq. A random sample of 200 veterans from Iraq were selected for additional research. The number suffering from PTSD or a similar condition was recorded. (Source: Frayne SM, et al. (2010) Medical care needs of returning veterans with PTSD: their other burden. Journal of General Internal Medicine 26(1).) a. Explain why this is a binomial experiment. b. What is the mean of X, the number of people suffering from PTSD in a sample of 200 veterans? c. In the sample of 200, the expected number of veterans with PTSD is d. Compute the standard deviation. e. Would it be unusual to find 110 individuals suffering from PTSD in a group of 200 veterans? 7. Textbook, page 260, # 10 - Phone Calls. 8. Textbook, page 263, # 6 - Investing in College