Question

"assume that josh throws the discus 36 times. let y denote the sum of the lengths of the 36 throws.

Answer 1

Assuming that Josh throws the discus 36 times, the expected value of y will be the length each discus reaches for each throw all added together. Specifically, it will be discus throw one, plus discus throw two -- all the way to discus throw thirty-six. Adding all of those throws together will provide the expected value of Y.