T. J. Maxx sells home fashions and men’s, women’s, boys’, and girls’ apparel. An experiment consists of classifying the next two items purchased, each as men’s, women’s, boys’, or girls’ apparel. Let the random variable X be the number of sales of women’s or girls’ apparel.
a. List the outcomes in the sample space.
b. What are the possible values for X? Is X discrete or continuous? Justify your answer.
An experiment consists of showing a four-year-old child an interactive instructional video and then asking the child to tie his shoelaces. The random variable Y is the length of time the child takes to tie the first shoelace. Is Y discrete or continuous? Justify your answer.
The Waynesburg Lions Club receives a shipment of 300 Christmas trees from Wending Creek Farms in Coudersport, Pennsylvania, to sell as a fundraiser. Classify each of the following random variables as discrete or continuous.
a. The number of trees over six feet tall.
b. The moisture content (expressed as a percentage) of a randomly selected tree.
c. The number of Douglas fir trees in the shipment.
d. The diameter of the trunk at the bottom of a randomly selected tree.