Problem 38E

Let Y1 , Y2, . . . , Yn denote a random sample from a normal distribution with mean μ and variance σ 2.

Stats Week 8 Part 1: Continuous Random Variables (cont) • Median of a continuous random variable o Median is the value of x o Integral from negative infinity to m of f(x) dx = 0.5 o When PDF is symmetric, the mean and the median is the same o When setting up equation, set up the integral from the lowest range point to m, and then integrate, and set equal to 0.5 o Need this for continuous, but not discrete • General Notes for Continuous random variable o Always draw a picture of f(x) when possible o Make not of all possible values for x o Make sure you’ve got correct limits o Know what you are trying to find o Make sure answers make sense Part 2: No