A hospital finds that 12% of its accounts are at least 1 month in arrears. A random sample of 600 accounts was taken. (a) Explain why the situation can be described by the binomial distribution. (b) Can the normal approximation be used in this case? (c) What is the probability that fewer than 85 accounts in the sample were at least 1 month in arrears? (use normal approximation) (d) What is the probability that the number of accounts in the sample at least 1 month in arrears was between 40 and 80? (use normal approximation)