In a survey of nursing students pursuing a master’s degree, 75 percent stated that they expect to be promoted to a higher position within one month after receiving the degree. If this percentage holds for the entire population, find, for a sample of 15, the probability that the number expecting a promotion within a month after receiving their degree is:

(a) Six

(b) At least seven

(c) No more than five

(d) Between six and nine, inclusive