tsabel Briggs Myers wes apioneer in the study of personality types. The personal

Question

tsabel Briggs Myers wes apioneer in the study of personality types. The personality types are broadly deined according to four main preferences. Do maed couples choo simlar or ifferent personality types in their mabes? The foilowing data give an indicaben similarities and Differences in a Random Sample of 375 Married Couples Suppose thatmarried couple is ted at random (a) use the data to estimate th·probatity that they wil have 0.. 2, 3, or 4 ionalty references-annon, tener mr arawen to 2 decna , (b) Do the probabilibes add up to 17 Why should they O Yes, because thery de net cover the eneire sample seac O Yes, because they cover the entire sample space O No, because they cover the entre urple spo. What-the sample space in this pr..n? O o, 1, 2,3 personality preferences in common 1, 2, 3, 4personality preferences in common 0·1, 2, 3, 4, 5 personalty preferences neommon Q, 1, 2, 3, 4 personality preferences in common Need Help? 3

Explanation / Answer

a) so, total = 34+135+110+70+26 = 375

P( 0 ) = 26/375 = 0.07

P(1) =70/375= 0.19

P(2) = 110/375 = 0.29

P(3) = 135/375 = 0.36

P(4) = 34/375 = 0.09

b) The correct choice is,

3) Yes, because they cover entire sample space.

c) From the given information, we can clearly see that the sample space is, 0,1,2,3,4.

4) 0,1,2,3,4 personality preferences in common.

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