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More than 96 percent of the very largest colleges and universities more than 15,000 totally enrollments have some online offerings.Suppose you randomly puck 22 such

More than 96 percent of the very largest colleges and universities more than 15,000 totally enrollments have some online offerings.Suppose you randomly puck 22 such institutions.We are interested in the number that offer distance learning courses.

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O X = 1, 2, 3, . . ., 95, 96 O X = 0, 1, 2, . . ., 20, 21, 22 Part (c) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X - ? v Part (d) On average, how many schools would you expect to offer such courses? (Round your answer to the nearest whole numbe schools Part (e) Find the probability that at most twenty offer such courses. (Round your answer to four decimal places.) Part (f) Is it more likely that 21 or that 22 will offer such courses? Use numbers to justify your answer numerically and answer in a The probability that 21 schools will offer such courses is ---Select--- | and the probability that 22 schools will of courses

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