sabel 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.

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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.

(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 1? Why should they? (Chosoe one of the options):

Yes, because they do not cover the entire sample space.

No, because they do not cover the entire sample space.    

Yes, because they cover the entire sample space.

No, because they cover the entire sample space.

 

What is the sample space in this problem? Choose one of the options:

0, 1, 2, 3 personality preferences in common
1, 2, 3, 4 personality preferences in common    
0, 1, 2, 3, 4, 5 personality preferences in common
0, 1, 2, 3, 4 personality preferences in common
Similarities and Differences in a Random Sample of 375 Married Couples
Number of Married Couples
Number of Similar Preferences
All four
Three
33
121
Two
121
One
61
None
39
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.)
1
2
4
(b) Do the probabilities add up to 1? 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
O 0, 1, 2, 3, 4, 5 personality preferences in common
O 0, 1, 2, 3, 4 personality preferences in common
Transcribed Image Text:Similarities and Differences in a Random Sample of 375 Married Couples Number of Married Couples Number of Similar Preferences All four Three 33 121 Two 121 One 61 None 39 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.) 1 2 4 (b) Do the probabilities add up to 1? 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 O 0, 1, 2, 3, 4, 5 personality preferences in common O 0, 1, 2, 3, 4 personality preferences in common
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