Question

Suppose Steve goes fishing near the nuclear power plant at Hawkins. He's interested in catching King Salmons and Walleyes. Assume the following:

• All species of fish in the lake have weights that are normally distributed.

• The weight of the King Salmons are i.i.d. ∼ Normal with µK = 150 lbs and σK = 10 lbs. Let K be the weight of a randomly caught King Salmon.

• The weight of the Walleyes are i.i.d. ∼ Normal with µW = 51 lbs and σW = 9 lbs. Let W be the weight of a randomly caught Walleye.

Suppose Steve caught 2 King Salmons and 6 Walleyes at random. What is the probability that the total weight of the 2 King Salmons is less than the total weight of the 6 Walleyes?

Answer 1