1) For which of these cases would it be appropriate to use a normal distribution to approximate the binomial distribution? You may have more than one answer. Show work/explanation. a. n = 100, p = .01 b. n = 20, p = .6 c. n = 35, p = .7 If x is a binomial variable, write the probability that you would be looking for after you have applied the continuity correction factor P( ) for the following conditions for x: 2) x = 5 3) x > 5 4) x 5 A study in a particular state found that only 5% of the voters have Doctoral degrees. In a random sample of 200 voters, let x be the number who have doctoral degrees. 5) Find the mean of x. 6) Find the standard deviation of x. 7) Find the z-score for x > 10.5 using the z-score formula. 8) What is the probability that more than 10.5 voters in a sample of 200 voters will hold a Doctoral degree? (Use the z-table linked for this course.) 9) What is the probability that at least 10.5 voters in a sample of 200 voters will hold a Doctoral degree? (Use the z-table linked for this course.)