STAT HOME WORKQuestion 2(a)It is given that P(A) = f/nTotal DVD’s in my collection = 15DVD’s tend that are over two hours = 10Hence, empirical probability P(A) = (10/15) = 0.67Therefore, based on empirical observation, 67% of the DVD’s are greater than 2 hours or 120minutes.(b)No, the sample size I have is not enough for a reliable empirical probability determination.A larger sample size would lead to a much accurate estimation of the probability whichwould also be nearly equal to the actual probability. The sample taken in the form of mycollection would essentially be biased as certain DVD’s such as documentary typicallymay be shorter and hence a representative set is required (Flick, 2015).(c)Similar results would be expected if the experiment is repeated using the DVD collectionof my best friend as again the size of the collection would not be large enough toapproximate to the actual probability which would be significantly different from thevalue predicted above (Hair et. al., 2015).Question 3(a)The stem and leaf plot for the given data is indicated below.
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