MyersBriggs: Personality Types Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication (Source: I. B. Myers and M. H. McCaulley, A Guide to the Development and Use of the MyersBriggs Type Indicators). Similarities and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences Number of Married Couples All four 34 Three 131 Two 124 One 71 None 15 Suppose that a married couple is selected at random. (a) Use the data to 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? Why should they? What is the sample space in this problem?

STP 231 lecture covering 1.3 I.) Sample vs. Population, Descriptive vs. Inferential statistics A.) Population: Collection of all the individuals who are in consideration for the study. Denoted by the variable N. B.) Sample: Part of the population that is sampled and the experiment is ran on them. Denoted by the variable n. C.) Example: Concussions are a rising issue in the NFL. In order to study the effect concussions have on cognitive ability 100 football players were randomly selected. i. The population would be the all of the players in the national football league. While the sample would, be the 100 football