Problem 5: Bayes rule and normal random variables: Suppose that you have a newborn baby at home. Let X be the amount of
Posted: Sun Sep 05, 2021 5:01 pm
Problem 5: Bayes rule and normal random variables: Suppose that you have a newborn baby at home. Let X be the amount of time it takes (in hours) until your baby wakes up when you put her down, which we will model as an exponential random variable with parameter 1. However, you have no idea what I is for your baby. However, you read online that a good model for 1 is the pdf f^(^) = In 2x 1551 { otherwise. Suppose that you put down your baby and she wakes up after X = 2 hours. Use this information to compute an updated pdf for A, i.e., fax(1/2).