How to solve Problem 1 with #1 and #2?

For #1, can I equal two formula below and solve it?

For #2, I am not sure how to solve this one.

14 Example: Fish Sorting . Known knowledge - Salmon's length has distribution N(5,1) - Sea bass' length has distribution N(10,4) ( x - 1) 2 . If r.v. is N(u, 62), Gaussian density p(x) = 27 e 202 . Class conditional densities are u is the mean o is the standard deviation (x-5)2 - p(x|salmon) = 2 (x-10)2 - p(x|bass) = 1 8 2V2 7 e A o =10 15Problem 1. (20points) You want to sort incoming fishes according to species. There are two species - Sea bass and Salmon. For each incoming fish, you can measure and use its length to classify it into two species. Salmon's length follows a Gaussian distribution with mean 5 and variance 1. Sea bass's length follows a Gaussian distribution with mean 10 and variance 4. 1) Compute the decision boundary, assuming the equal prior (P(Sea bass) = P(Salmon)) 2) Compute the decision boundary, assuming P(Sea bass) - , P(Salmon) Show the intermediate results