lsahel 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 ordifferent personality types in L'rleir mates? The following data give an indication. sim arities and Differences in a Random Sample of 375 Married Couples Number of SI Iar Preferences Number (If Married Couples All four 25 Three 128 Twu 118 one 65 Nana 36 Suppose that a married couple is selected at random. (a) Use the data to estimate the prnbabiiity that they will have 0, 1, 2, 3, or 4 personality preferences in common. (Far each answer; entera number. Enter your answers to 2 decimal places.) 0 l 2 I! 4 (In) Do the probabilities add up to 1? Why should they? 0 Yesr because they do not cover the entire sample space. 0 Nu, hecause they do not cnver the entire sample space. 0 Yes, because they coverthe enlire sample space. 0 No, because they cover the entire sample space. What is the sample space in this problem? 0 0, 1. 2, 3 personality preferences in common 0 1, 2. 3. 4 personality preferences in common 0 D, 1, 2, 3, 4, 5 personality preferences in common 0 u, 1, 2, 3, 4 personality preferences in common