APPLICATIONS 5.48 The most recent data from the Department of Education show that 34.8% of students who submitted otherwise valid applications for a Title IV Pell Grant in 2005-2006 were ineligible to receive such a grant (www2.ed.gov/finaid/prof/resources/data/pell-2005-06/eoy-05-06.pdf). Suppose that this result is true for the current population of students who submitted otherwise valid applications for this grant. a. Let x be a binomial random variable that denotes the number of students in a random sample of 20 who submitted otherwise valid applications for a Title IV Pell Grant but were ineligible to receive one. What are the possible values that x can assume? b. Find the probability that exactly 6 students are ineligible to receive a Title IV Pell Grant in a random sample of 20 who submitted otherwise valid applications for this grant. Use the binomial probability distribution formula. APPLICATIONS 5.48 The most recent data from the Department of Education show that 34.8% of students who submitted otherwise valid applications for a Title IV Pell Grant in 2005-2006 were ineligible to receive such a grant (www2.ed.gov/finaid/prof/resources/data/pell-2005-06/eoy-05-06.pdf). Suppose that this result is true for the current population of students who submitted otherwise valid applications for this grant. a. Let x be a binomial random variable that denotes the number of students in a random sample of 20 who submitted otherwise valid applications for a Title IV Pell Grant but were ineligible to receive one. What are the possible values that x can assume? b. Find the probability that exactly 6 students are ineligible to receive a Title IV Pell Grant in a random sample of 20 who submitted otherwise valid applications for this grant. Use the binomial probability distribution formula