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 26 Three 133 Two 112 One 62 None 42 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. (For each answer, enter a number. Enter your answers to 2 decimal places.) 3 (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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
26
Three
133
Two
112
One
62
None
42
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. (For each answer, enter a number. Enter your answers to 2
decimal places.)
2
3
4
(b) Do the probabilities add up to 1? Why should they?
O Yes, because they do not cover the entire sample space.
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 o, 1, 2, 3, 4, 5 personality preferences in common
O o, 1, 2, 3, 4 personality preferences in common
Transcribed Image Text:田 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 26 Three 133 Two 112 One 62 None 42 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. (For each answer, enter a number. Enter your answers to 2 decimal places.) 2 3 4 (b) Do the probabilities add up to 1? Why should they? O Yes, because they do not cover the entire sample space. 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 o, 1, 2, 3, 4, 5 personality preferences in common O o, 1, 2, 3, 4 personality preferences in common
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