a national chain of hotels has established the policy to allow more bookings than they have rooms as part of a novel revenue management program. assume that a particular hotel as 60 rooms but allows for up to 63 bookings. let's also assume that there is only a 3% chance that someone who booked a room will not show up at the hotel and that whether or not someone shows up is independent of someone else showing up.a) let's assume that 63 rooms have been booked. what is the probability that at least one customer holding a booking will have to be turned away?b) let's assume 63 rooms have been booked. what is the probability that the hotel will have at least two empty roomsc) let's assume 63 rooms have been booked. if every customer that has to be turned away receives a $90 voucher,what can this hotel expect to pay, on average, for vouchers on any day?