Let a be an event, and let ia be the associated indicator random variable: ia(ω)=1 if ω∈a , and ia(ω)=0 if ω∉a . similarly, let ib be the indicator of another event, b . suppose that, p(a)=p , p(b)=q , and p(a∪b)=r . find e[(ia−ib)2] in terms of p, q,r .

If you flip a coin 3 times, what is the probability of flipping heads 3 times? a. p(3 heads) = 3/8 b. p(3 heads) = 1/6 c. p(3 heads) = 1/8 d. p(3 heads) = 1/2

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.

Three students, javier, sam, and corrine, participated in a fundraiser where people donated a certain amount of money per lap that the student ran. each student also had some initial donations that were collected before the run. the equations that represent each student's total donation, y, based on the number of laps ran, x, is shown below. match each equation with the correct rate of change for that student.