Homework #5

EE 503: Summer 2026

Assignment Details

Assigned: 22 June
Due: Monday, 29 June at 12:00

BrightSpace Assignment: Homework 5

Daily Derivation

Prove that a beta prior \(h(\theta) = \text{Beta}(\alpha, \beta)\) is conjugate to a binomial likelihood \(g(x \mid \theta) = b(n, \theta)\): \(f(\theta \mid x) = \text{Beta}(\alpha + x, \beta + n - x)\).

Instructions

Write your solutions to these homework problems. Submit your work to BrightSpace by the due date. Show all work and box answers where appropriate. Do not guess.

Book

Leon-Garcia

Chapter 4: 4.5, 4.25-4.26, 4.34, 4.63-4.64, 4.67-4.68