Page of 3 ZOOM 6. Myer--Briggs: Personality types: Isabel Briggs Myers was a pio

Question

Page of 3 ZOOM 6. Myer--Briggs: 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 N. H. McCaulley, A Guide to the Development and Use of the Myers-Briggs Type Indicators) Similar and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences All four Three Two One None Number of Married Couples 34 131 124 71 15 Suppose that a married couple is selected at random. 1). Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common

Explanation / Answer

a)

probability = frequency/total number = f_i/375

formula in excel

we see that sum of probability = 1

sample space = 0,1,2,3,4 preference in common

X frequency probability 0 15 0.04 1 71 0.189333333 2 124 0.330666667 3 131 0.349333333 4 34 0.090666667 375 1

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