More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 22 such institutions. We are interested in the number that offer distance learning courses. Part (a) In words, define the Random Variable X. the percentage of colleges and universities that offer distance learning courses the number of colleges and universities that offer distance learning courses the number of colleges and universities in the United States the number of distance learning courses offered at each college or university Correct! This is a numerical measure of the outcome of the study. Part (b) List the values that X may take on. OX= 1, 2, 3, . . ., 20, 21, 22 OX= 0, 1, 2, . . ., 20, 21, 22 OX 1, 2, 3, . . ., 95, 96 OX=0, 1, 2, 3, . . ., 95, 96 Part (c) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X-B V 22 0.96 Part (d) On average, how many schools would you expect to offer such courses? (Round your answer to the nearest whole number.) 21 schools □ Part (e) Find the probability that at most eighteen offer such courses. (Round your answer to four decimal places.)

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