You have a kerplunk game in which a marble will fall out of a certain hole 26% of the time. You decide to drop 8 marbles in the game one at a time and observe which hole the marble goes through. A) Find the probability that exactly two of the marbles will fall out of the game through the hole. B) If we let X be the number of marbles that fall through the certain hole, then find Ux and 02x. That is to say, find the mean and variance.

A drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?

John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077

A game is player with a pair of tetrahedral ( four sided) dice. Each die has four faces numbered 1,2,3,and 4. To play, roll the two dice and record the sum of the values on the down faves. What is the probability of rolling a sum of 7