In the 2013 Jerry’s Artarama art supplies catalog, there are 310 pages. Ten of the pages feature signature artists. Suppose we randomly sample 100 pages, and a page may be sampled more than once. Let X = the number of pages that feature signature artists. What is the probability distribution? Find the following probabilities: Binomial distribution with n=100, p = 10/310 i. the probability that four pages feature signature artists ii. the probability that at most two pages feature signature artists iii. the probability that more than six pages feature signature artists.
In the 2013 Jerry’s Artarama art supplies catalog, there are 310 pages. Ten of the pages feature signature artists. Suppose we randomly sample 100 pages, and a page may be sampled more than once. Let X = the number of pages that feature signature artists. What is the
Binomial distribution with n=100, p = 10/310
i. the probability that four pages feature signature artists
ii. the probability that at most two pages feature signature artists
iii. the probability that more than six pages feature signature artists.
Given, n=100,p=10/310
Now Binomial Distribution is given by ,
i)the probability that four pages feature signature artists,
P(X=4)=0.182 (By equation 1)
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