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?
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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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.
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