Asurvey was conducted by the public housing authority in a certain community among 1000 families to determine the distribution of families by size. the results are given below. family size 2 3 4 5 6 7 8 frequency of occurrence 302 184 214 113 80 15 92 (a) find the probability distribution of the random variable x, where x denotes the number of people in a randomly chosen family. give exact answers.

4. find the geometric mean of 4 and 12. 24 8

You are at a restaurant and owe $56.20 for your meal. you want to leave an 18% tip. approximately how much is your tip?

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?