<span>here is the sample space for throwing two die </span><span>{ 1, 2 , 3, 4, 5, 6,
2 , 4 , 6, 8, 10, 12,
3, 6, 9 , 12, 15, 18,
4, 8 , 12, 16, 20, 24,
5, 10 , 15, 20, 25, 30,
6, 12, 18, 24, 30 ,36 } </span><span>(Two) fair dice are rolled, and the product of the two numbers is recorded. Which of the following best describes the theoretical probability distribution? uniform symmetric negatively skewed positively skewed
Uniform Symmetry -> Sequence of answers that increase or decrease by the same amount
Negative Skew = Large # -> Small #
Positive Skew = Small # -> Large #</span>
If a bar graph is drawn to represent this, we see that this is close to uniform. It is not exactly uniform, but it is definitely not symmetric; not positively skewed; and not negatively skewed.
The study is an observational study. An observational study is made when the researchers collect data based on what they see, hear or observe without any form of manipulation or treatment plan from the researchers. Thus, in this case, the study is an observational study because the study examines individuals in a sample, but does not try to influence the response variable/influence their responses.
