Kanjanarat et al. (A-12) estimate the rate of preventable adverse drug events (ADEs) in hospitals to be 35.2 percent. Preventable ADEs typically result from inappropriate care or medication errors, which include errors of commission and errors of omission. Suppose that 10 hospital patients experiencing an ADE are chosen at random. Let and calculate the probability that:

(a) Exactly seven of those drug events were preventable

(b) More than half of those drug events were preventable

(c) None of those drug events were preventable

(d) Between three and six inclusive were preventable