·· 7 points Beunderstat1 141 017 My Notes Ask Your Te Myers was a pioneer in the
ID: 3305715 • Letter: #
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·· 7 points Beunderstat1 141 017 My Notes Ask Your Te Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married similar or different personality types in their mates? The following data give an indication couples choose Similarities and Differences in a Random Sample of 375 Married Couples All four Three Two One 35 129 116 68 Suppose that a married couple is selected at random (a) Use the data to estimate the probability that they will have 0, 1,2, 3, or 4 personality preferences in common. (Enter your answers to 2 decimal places) (b) Do the probabilities add up to 17 Why should they O Yes, because they do not cover the entire sample space O No, because they do not cover the entire sample space O Yes, because they cover the entire sample space. O No, because they cover the entire sample space What is the sample space in this problem O 0, 1,2,3 personality preferences in common O 1,2,3,4 personality preferences in common O0, 1, 2,3,4, 5 personality preferences in common O 0, 1, 2, 3, 4 personality preferences in common Need Help? LesExplanation / Answer
a) Total number of married couples = (35+129+116+68+27) = 375
Probability that they will have 0 personality preferences in common = 35/375 =0.093
Probability that they will have 1 personality preferences in common = 129/375 = 0.344
Probability that they will have 2 personality preferences in common = 116/375 = 0.310
Probability that they will have 3 personality preferences in common = 68/375 = 0.181
Probability that they will have 4 personality preferences in common = 27/375 = 0.072
b) Yes the probabilities should add up to 1. option 3 is correct. they cover the entire sample space.
c) option 4 is correct. 0,1,2,3,4 personality preferences in common.
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