I am working on a worksheet for prob and stats now, but i want to have a referance to look at while i work. I'm not very confident in my answers.

So can someone check my answers so far, and help me with the last so I have something to look at later if I have trouble. Thanks!!!!!

1. Suppose we are going to have a pizza party - so we need to know how much pizza to order. We are only going to order pepperoni and hamburger pizza. We know that the probability that a person will eat at least one of these types of pizza is .94, the probability that they will eat both types is .45, and the probability that they won't eat hamburger is .35.

A) What is the probability that a randomly chosen guest will eat hamburger pizza?

I got .59

B) What is the probability that a randomly chosen guest will only eat pepperoni pizza?

I got .29

C) What is the probabilyt that a randomly chosen guest who will eat pepperoni pizza will also eat hamburger?

I got .61 (big guess, didn't use formula)

D) Are the two events independent events? Justify your answer with appropriate probabilities.

Yes (but i dont know what to put for "appropriate probabilites")

This one I haven't attempted yet. Please could someone do it and explain it to me so I have something to look at right away after my work if I have problems????

2. We are going to roll an 8-sided die whose numbers are 1 through 8. For each roll, if we get a multiple of 3, we win $1; if we roll an even number, we win $.50; (can only win one prize, and it would be teh largest). We don't win anything for any other value (ie $0 for anything else). Let Y=amount won.

A) Define the PMF of Y (find f(y))

B) Find CDF of Y (F(Y))

C) Find E(Y) and Var(Y)

Thanks in advance!!!!