Question: The mega-hotel at a coastal casino has 3200 sleeping rooms. During any given in-season midweek time period, the occupancy rate averages 80%. Use a normal distribution to approximate the binomial probability that (a) more than 2920 rooms are occupied, and (b) at least 2810 but no more than 2851 are occupied. [COMMENTS & HINTS: Use corrections for continuity, but do so paying careful attention to boundary values.]