6. You have a jar full of M&Ms. 8 are Black, 5 are Green, and 3 are Yellow. Let B means you drew a Black, G means you drew a Green and Y means you drew a Yellow. B. Assume you draw one M&M at random for each trial, and do NOT replace it (since you ate it) before the next trial. IV. V. VI. Compute P(2nd Draw is G | 1st Draw is B) Compute P(2nd Draw is G) by the fact [1st Draw is G} and {1st Draw isn't G} are complements of each other Compute P(Draw goes YYYBB)

)  Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac) from the local paint store in order to paint his mother’s house.  Unknown to the man, three of these can contains an incorrect mix of paint.  For this weekend’s big project, the man randomly selects four of these 1-gallon cans to paint his mother’s living room.  Let x = the number of the paint cans selected that are defective.   Unknown to the man, x follows a hypergeometric distribution.  Find the probability that a least one of the four can selected contains an incorrect mix of paint. A) 78182 B) 74545 C) 50909 D) 49091

A teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads is the same in each container. The students believe the proportions are different. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the beads to the container. The student repeats this process for the second container. One student’s samples contained 10 red beads from the first container and 16 red beads from the second container. Let p1 = the true proportion of red beads in container 1 and p2 = the true proportion of red beads in container 2. Which of the following are the correct hypotheses to test the students’ claim?

Needed urgently... do it asap... STRICTLY TO BE HANDWRITTEN ONLY