Question

In one of its Spring catalogs, L.L. Bean® advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked at most once.; X; X

a. Between 2 and 4 pages

b. Between 5 and 7 pages

c. Between 8 and 10 pages

d. More than 10 pages

Answer 1

Mathematics question concerning the hypergeometric distribution where the random variable X represents the number of pages advertising footwear in a sample from a catalog.

Step-by-step explanation:

The subject question involves the concept of the hypergeometric distribution, which is a probability distribution that describes the probability of k successes (in this case, pages advertising footwear) in n draws, without replacement, from a finite population of size N that contains exactly K successes, (footwear advertisement pages in the catalog).

The random variable X can be defined as the number of catalog pages advertising footwear in a randomly selected sample of 20 pages from the L.L. Bean catalog, where the catalog has 29 pages with footwear out of 192 pages total.

The values that X can take on range from 0 (no advertisement pages in the sample) to the entire sample size (all pages in the sample are advertisement pages), assuming that each page may be picked at most once.