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In one of its Spring catalogs, a company advertised footwear on 35 of its 200 catalog pages.
Suppose we randomly survey 24 pages. We are interested in the number of pages that advertise footwear. Each page may be picked at most once.
Give the distribution of X. (Enter your numerical answers as whole numbers.)
How many pages do you expect to advertise footwear on them? (Round your answer to two decimal places.)
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This problem is on hypergeometric distribution. The parameters are
N = 200 pages (total);
n = 24 is the sample size, and
k = 35 is the number of pages of special interest (total).
The Math expectation for the number of pages in a sample that advertise footwear on them is
E = = = = 4.2, or 4, when rounded to the nearest whole number. ANSWER
Solved.
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As a reference, or as a source of information see this link
https://study.com/skill/learn/how-to-calculate-the-mean-or-expected-value-of-a-hypergeometric-distribution-explanation.html#:~:text=using%20the%20formula-,Using%20the%20values%20from%20step%201%20and%20the%20formula%20for,120%20%3D%20100%20120%20%3D%200.8333%20%E2%80%A6
or your textbook.