Isabel Briggs Myers was a pioneer in the study of personality typE. The personality types are broadly dened according to fo main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication. similarities and Differences in a Random Sample of 3?! Married couples: Number of Similar Preferences Number of Harrled Couples All four 25 Three 132 'I'is'o 118 One I5? None 33 Suppose that a married couple is selected at random. {a} Use the data to estimate the probability that they will have I], l, 2, 3,. or 4 personality preferences in common. (F each answer, enter a number. Enter your answers to 2 decimal places} a 1 2 3 4 to} Do the probabilities add up to 1? Why should they? O Yes, because they do not coyer the entire sample space. 0 No, because they do not cover the entire sample space. C) "res. because they cover the entire sample space. 0 No, because they cover the entire sample space. What is the sample space in this problem? 0 I], 1, 2, 3 personality preferences in common 0 1, 2, 3, 4 personality preferenoes In common D n, 1, 2, 3, 4, 5 personality preferences in common O I), 1, 2, 3, 4 personality preferences In common