Week 3 AssignmentQuestion 1Seventy percent of the students a

Week 3 AssignmentQuestion 1Seventy percent of the students applying to a university are accepted. Using the binomial probability tables or Excel, what is the probability that among the next 18 applicants:At least 6 will be accepted?Exactly 10 will be accepted?Exactly 5 will be rejected?Fifteen or more will be accepted?Determine the expected number of acceptances.Compute the standard deviation.Question 2Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6.What is the probability that a randomly selected exam will have a score of at least 71?What percentage of exams will have scores between 89 and 92?If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award?