Pyramid Lake is located in Nevada on the Paiute Indian Reservation. This lake is famous for large cutthroat trout. The mean number of trout (large and small) caught from a boat is 0.400 fish per hour. Suppose you rent a boat and go fishing for 4 hours. Let r be a random variable that represents the number of fish you catch in the 4-hour period.
If you already have caught three trout, what is the probability you will catch a total of seven or more trout? Compute P(r ≥ 7 | r ≥ 3). (Use 4 decimal places.)
If you already have caught four trout, what is the probability you will catch a total of less than nine trout? Compute P(r < 9 | r ≥ 4). (Use 4 decimal places.)