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Isabel Briggs Myers was a pioneer in the study of personality types. The persona

ID: 2960981 • Letter: I

Question

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.

    Suppose that a married couple is selected at random.    

Similarities and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences Number of Married Couples                     All four
                    Three
                    Two
                    One
                    None                 30
128
124
61
32

Explanation / Answer

a.

Total = 30 + 128 + 124 + 61 + 32 = 375


Now,


zero = 30 / 375 = 2/25 = 0.08


/ 375 = 0.341


two = 124 / 375 = 0.331


three = 61 / 375 = 0.163


four = 32 / 375 = 0.085

b.

0.08 + 0.341 + 0.331 + 0.163 + 0.085 = 1

Yes, probabilities add up to 1. There is a rule that the sum of probabilities of all outcomes should

be equal to 1.

c.

Sample space is {all four, three, two, one, none}

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