Please help with all parts. Thank you so much!

Q 1.

part f options: a) 0.0090, 0.3734, 0.4073, 0.6266, 0.9910; b) 0.0090, 0.3734, 0.4073, 0.6266, 0.9910; c) 21, 22.

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 Part (b) List the values that X may take on. O X = 1, 2, 3, . . ., 95, 96 O X = 0, 1, 2, . . ., 20, 21, 22 O X = 1, 2, 3, . . ., 20, 21, 22 O X= 0, 1, 2, 3, . . ., 95, 96 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 number.) schoolsFind the probability that at most eighteen offer such courses. (Round your answer to four decimal places.) Is it more likely that 21 or that 22 will offer such courses? Use numbers to justify your answer numerically and answer in a complete sentence. The probability that 21 schools will offer such courses _W and the probability that 22 schools will offer such courses is .Therefore, it is more likely that ---Select- v schools will offer distance learning courses. """""""""" Suppose that about 85% of graduating students attend their graduation. A group of 25 graduating students is randomly chosen. In words, dene the Random Variable X. 0 the number of graduates O the number of people attending graduation O the number of graduating students that attend graduation O the number of graduating students that are not attending graduation List the values that X may take on. O X=0, 1, 2, . . ., 83, 84, 85 OX=1,2,3,...,23,24,25 OX=1,2,3,...,83,84,85 OX=0,1,2,...,23,24,25 Give the distribution of X. >