2United States Pigeon Service is a company that uses carrier pigeons to deliver mail. They own 128 pigeons and have 100 pigeonholes where the pigeons sleep at USPS, each pigeonhole holding only one pigeon. The pigeons do not find their way back to USPS reliably: on average, 25% of the pigeons sent out do not return to USPS by nightfall, independently of each other Suppose that, on its first day in business, USPS sends out all its pigeons to deliver mail. Use the Central Limit Theorem to approximate the probability that, by nightfall that first day more pigeons will return to USPS than there are pigeonholes to hold them. 2United States Pigeon Service is a company that uses carrier pigeons to deliver mail. They own 128 pigeons and have 100 pigeonholes where the pigeons sleep at USPS, each pigeonhole holding only one pigeon. The pigeons do not find their way back to USPS reliably: on average, 25% of the pigeons sent out do not return to USPS by nightfall, independently of each other Suppose that, on its first day in business, USPS sends out all its pigeons to deliver mail. Use the Central Limit Theorem to approximate the probability that, by nightfall that first day more pigeons will return to USPS than there are pigeonholes to hold them