STA200 Homework 5 Based on Chapter 5. Problem 1: Exercise 17, page 199. Do married couples choose similar or different personalities types in their mates? The following table show similarities and differences in a random sample of 375 married couples. Number of Similar --- Number of Preferences-- -- Married Couples All four -- 34 Three 131 Two - - 124 One - 71 None 15 Suppose that a married couple is selected at random. a) Estimate the probability that they will have 0,1,2,3, or 4 personality preferences in common. b) Do the probabilities add up to 1? What is the sample space in this problem? 2) Problem 25, page 218. The table gives information about ages of children receiving toys. The percentage represents all toys sold. Age(years) - Percentage of Toys 2 and under - 15% 3-5 -- 22% 6-9 --. - 27% 10-12 - 14% 13 and over - - 22% a) What is the probability that a toy is purchased for someone 6 years old or older? b) What is the probability that a toy is purchased for someone 12 years old or younger? c) What is the probability that a toy is purchased for someone between 6 and 12 years old? d) What is the probability that a toy is purchased for someone between 3 and 9 years old? 3) Problem 26, page 218. About 14% of senior people (65 years old or older) get the flu each year. However, about 24% of the people under 65 years old get the flu every year. In the general population, there are 12.5% senior citizens. a) What is the probability that a person selected at random from the general population is a senior citizen who will get the flu this year? b) What is the probability that a person selected at random from the general population is a person under age 65 who will get the flu this year