# Exercise 1

Consider the simple linear regression model

$Y = -5 + 2.2x + \epsilon$

where

$\epsilon \sim N(0, \sigma^2 = 16).$

Calculate two probabilities using this model:

$P\left[Y > 8 \mid X = 2 \right]$

$P\left[Y > 8 \mid X = 4 \right]$