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. Similarities and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences All four Number of Married Couples 29 123 Three Two 117 66 One None 40 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.) 2. 3. (b) Do the probabilities add up to 1? Why should they?

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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.
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
29
123
117
66
40
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
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
V O 2:01
hp
3.
Transcribed Image Text:TED Stephen Petranek: Your ki X hannahs essay - Google D X Math 2250 Unit 2 Post Tes X FSA FAFSA® Application | Fede X Login - FAFSA on the Web X Course stream X + webassign.net/web/Student/Assignment-Responses/last?dep%3D27286098 | O Tri-County Bookmarks Sports Medicine I 2. Classes Test Selection - We. Infinite Campus M Inbox - 22hyates@tr.. Applied Educational. HANNAH YATES - S. ExRx.net : Exercise. >> Reading list 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. 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 29 123 117 66 40 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 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 V O 2:01 hp 3.
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