Homework 5 (4 pages) Final review 1. An insurance Co. would like to determine the proportion of all medical doctors who have been involved in one or more malpractice suits. Company sample 500 doctors. Describe the population, and the sample. 2. Recreational skiing is big business in some of the western and New England states. Many recreational skiers are beyond the beginning level, and want intermediate or "more difficult" terrain. Snow Country, September 2005 issue, described the 35 top-rated ski areas and gave the percentage of the skiing terrain that was at the more difficult level. The percentages follow. 36 54 51 49 30 43 45 35 40 52 28 51 40 60 20 25 50 40 65 58 43 59 49 40 45 40 55 30 33 60 30 46 65 33 28 a. Make a stem-leaf and comment on any features of this distribution that you notice. b. Compute mean standard deviation, mode, median, midrange, first and third quartile. 3. Following data was gathered: Unemployed Employed Men 206 412 Women 386 305 Find: a. P(U) b. P(UM) c. P(M and E) d. P(W or U) e. Are events "M" and "E" independent? 4. Two cards are selected(without replacement) from a standard deck of fifty-two. We are interested in number of spades obtained. Give the probability distribution for x. 24