Chapter 4.2, Problem 9E

A random variable Y has the following distribution function:

$F\left(y\right)=P\left(Y\le y\right)=\{\begin{array}{l}0,fory<2,\\ 1/8,\text{ for 2}\le y<2.5,\\ 3/16,\text{for 2}\text{.5}\le y<4,\\ 1/2for4\le y<5.5,\\ 5/8,\text{ for 5}\text{.5}\le y\le 6,\\ \text{11/16, for 6}\le y<7,\\ 1,\text{ for }y\ge 7.\end{array}$

1. a Is Y a continuous or discrete random variable? Why?
2. b What values of Y are assigned positive probabilities?
3. c Find the probability function for Y.
4. d What is the median, ϕ_.5, of Y?