. Determine if the following are probability distributions (if no. state why). (10 points) a. X 3 6 9 12 15 P(X) 419 2:9 2:9 1:9 0 b.X l 2 3 4 5 P(X)3f10 1:10 1:10 2:10 4;\"10 Construct a probability distribution for the data: (Hint: Round the probabilities to the nearest hundredth) (8 points) A box contains 4 $1 bills, 2 $5 bi]ls_._ 2 $10 bill. and 1 $20 bill. X P(X) Below is a probability distribution for the number of math failures of BC students. Complete the blank considering you have a probability distribution. (12 points) X 0 1 2 3 4 P(X) 0.31 0.28 0.08 0.02 P(X = 2) = . What is the probability to have no more than two math failures? What is the probability to have at least two inath failures? . What is the probability to have at most one math failures