Eric Moreland plays basketball for the Raptors and had a 50% chance of scoring a field goal when taking a shot last season.

a) Sketch the pdf for a random variable X that describes Eric Moreland's first attempt at a field goal at the start of next season. Explain all the ways X is distributed.

b) If Eric Moreland takes 10 field goal attempts what is the probability he scores fewer than 3 field goals or more than 6 field goals

c) If Eric Moreland takes 10 field goal attempts how many field goals would you expect him to score?

d) How likely is it that it takes him more than 5 field goal attempts to score his first field goal?