# Chapter 1. Conditional Distributions

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Stat Tutor
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4:40

### Question 1.1

ZKZaqamOBi6mt3ZH1hNUuzwLrM8CBt9yd6i80Ik0BohDod0kPAi/5B4XXVZ03kuENtkGRBq336a05kCA/4B+PdmBqB1jU5fXtYDyRZ9tsSEYujshJg6SUh6oZwg3JkCpBeOiMFzt4cnX30oilMxpXb4gMz3S9P5YELue7Rz7VBgLGSJknZOl+0VZRRAUmZ0fWx2P6VLvDE7CoDJnCPSPWriZcf7eUk6FSlUqAEr8ltOczQYcCTwnP73PXI3uwxTuq0br+uoiYA4=
Incorrect. This is a correct statement because the fractions in the distribution must add to 1.0. Thus, the denominator has to be the same for all fractions.
Correct. This is a correct statement because the fractions in the distribution must add to 1.0. Thus, the denominator has to be the same for all fractions.
Incorrect. Try again.
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### Question 1.2

Should a woman ask a man out on a date?
Yes No Depends Total
Men 48 23 66 137
Women 30 69 93 192
Total 78 92 159 329
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Incorrect. Since “women” is a specific category and opinion is one of the variables for the table, we want the conditional distribution for women. Thus the denominator is the count of all women, namely, 192, and the three numerators are the three opinion counts for “Yes," “No” and “Depends” in the “women” row.
Correct. Since “women” is a specific category and opinion is one of the variables for the table, we want the conditional distribution for women. Thus the denominator is the count of all women, namely, 192, and the three numerators are the three opinion counts for “Yes," “No” and “Depends” in the “women” row.
Incorrect. Try again.
2

### Question 1.3

Should a woman ask a man out on a date?
Yes No Depends Total
Men 48 23 66 137
Women 30 69 93 192
Total 78 92 159 329
Incorrect. Since “Yes” is a specific category and gender is one of the variables for the table, we want the conditional distribution for the “Yes” category. Thus the denominator is the count of all those who responded “Yes," namely, 78, and the two numerators for gender are the count for “men” and the count for “women” in the “Yes” row.
Correct. Since “Yes” is a specific category and gender is one of the variables for the table, we want the conditional distribution for the “Yes” category. Thus the denominator is the count of all those who responded “Yes," namely, 78, and the two numerators for gender are the count for “men” and the count for “women” in the “Yes” row.
Incorrect. Try again.
2

### Question 1.4

Should a woman ask a man out on a date?
Yes No Depends Total
Men 48 23 66 137
Women 30 69 93 192
Total 78 92 159 329
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Incorrect. asking for the “fraction of the men," we are restricting the table to only the row for “men," making 137 the denominator. Of the men, 48 responded “Yes." So, the fraction is 48/137.
Correct. asking for the “fraction of the men," we are restricting the table to only the row for “men," making 137 the denominator. Of the men, 48 responded “Yes." So, the fraction is 48/137.
Incorrect. Try again.
2

### Question 1.5

Should a woman ask a man out on a date?
Yes No Depends Total
Men 48 23 66 137
Women 30 69 93 192
Total 78 92 159 329
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Incorrect. By asking for the fraction of those who responded “Yes," we are restricting the table to only the column for the “Yes” responses, making 78 the denominator. Of those who responded “Yes," 48 were men. So, the fraction is 48/78.
Correct. By asking for the fraction of those who responded “Yes," we are restricting the table to only the column for the “Yes” responses, making 78 the denominator. Of those who responded “Yes," 48 were men. So, the fraction is 48/78.
Incorrect. Try again.
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5:25

### Question 1.6

Incorrect. Some might prefer column conditional distributions for comparison, but most people prefer row conditional distributions for comparison.
Correct. Some might prefer column conditional distributions for comparison, but most people prefer row conditional distributions for comparison.
Incorrect. Try again.
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6:55

### Question 1.7

Incorrect. When responses for one variable are NOT associated with responses for the other variable, the row conditionals are should be about the same.
Correct. When responses for one variable are NOT associated with responses for the other variable, the row conditionals are should be about the same.
Incorrect. Try again.
2

### Question 1.8

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Incorrect. When responses for one variable are associated with responses for the other variable, the row conditionals are different.
Correct. When responses for one variable are associated with responses for the other variable, the row conditionals are different.
Incorrect. Try again.
2

7:52

### Question 1.9

Should a woman ask a man out on a date?
Yes No Depends Total
Men 0.35 0.17 0.48 1.00
Women 0.16 0.36 0.48 1.00
Total 0.24 0.28 0.48 1.00
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Incorrect. The proportion of men who said “Yes” at 0.35 is much different than the proportion of women who said “Yes” at 0.16. Similarly, the proportion of men who said “No” at 0.17 is much different than the proportion of women who said “Yes” at 0.36. Thus, with so much difference between the two conditionals, we have to say that there is potential association.
Correct. The proportion of men who said “Yes” at 0.35 is much different than the proportion of women who said “Yes” at 0.16. Similarly, the proportion of men who said “No” at 0.17 is much different than the proportion of women who said “Yes” at 0.36. Thus, with so much difference between the two conditionals, we have to say that there is potential association.
Incorrect. Try again.
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### Question 1.10

Is kissing on a first date appropriate?
Never Seldom Sometimes Total
Men 0.18 0.35 0.47 1.00
Women 0.18 0.37 0.45 1.00
Total 0.18 0.36 0.45 1.00