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Applied Probability and Statistics

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Applied Probability and Statistics

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Data science MS
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Data science MS

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Uploaded on
June 9, 2025
Number of pages
7
Written in
2024/2025
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Applied Probability and Statistics pre
assessment revision questions with certified
answers.Guaranteed excellence champ!
A study was conducted to see if blood type influenced height. What type of classification is this?
- Correct Answers-categorical to quantitative

A study was conducted on the possible relationship between smoking status and whether or
not alcohol is consumed. What type of classification is this? - Correct Answers-categorical to
categorical

A study is conducted on the possible relationship between gender and income of employees at
a marketing company. Which numerical measure is appropriate for this study? - Correct
Answers-Five-number summary

A researcher is examining the relationship between the number of hours of sleep and score on
a cognitive test. Which method should be used to measure the linear relationship between
these two variables? - Correct Answers-correlation

A study is conducted on the possible relationship between the number of new car purchases
and national unemployment rates. Which numerical measure is appropriate for this situation? -
Correct Answers-correlation coefficient

In a simple marketing survey, consumers in three parts of a state are asked for their preference
between Product A and Product B. Survey results are reported in the two-way table below:
ProductA : ProductB: Total
north 25 18 43
central 35 31 66
south 22 27 49
total 82 76 158

Which percentage of respondents from the Northern region prefer Product A to Product B?
What is the math? - Correct Answers-25/43 x 100 = 58%

In a simple marketing survey, consumers in three parts of a state are asked for their preference
between Product A and Product B. Survey results are reported in the two-way table below:

, ProductA : ProductB: Total
north 25 18 43
central 35 31 66
south 22 27 49
total 82 76 158

Which percentage of respondents from the Northern region prefer Product A to Product B? -
Correct Answers-58%

A researcher is interested in determining purchasing preferences based on age. The researcher
randomly samples people in two age groups and asks how they prefer to shop. Conditional
percentages are used to summarize the responses in the table below:

Purchasing Preferences
online in-store total
40 & above 45% 55% 100%
39 & below 63% 37% 100%
total 54% 46% 100%

based on this info, what is the relationship between age and shopping preference? - Correct
Answers-People aged 40 and above prefer shopping in-store more than people aged 39 and
below because 55% is greater than 37%.

The percentage of drivers born before and after 1990 who can and cannot drive manual
transmission is recorded in the table below:

results Can drive a manual Cant Total
<1990 78% 22% 100%
>1990 16% 84% 100%

What is the relationship between the time period drivers were born in and the ability to drive a
manual transmission car? - Correct Answers-People born before 1990 are more likely to be able
to drive a manual transmission car than people born after 1990 because 78% is greater than
16%.

What is a strong linear relationship? - Correct Answers-when R( the correlation coefficient) is
near 1 or -1

what is a weak linear relationship? - Correct Answers-when R (the correlation coefficient) is
near 0
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