Two players, a and b, play a series of points in a game with player a winning each point with probability p and player b winning each point with probability q = 1 − p. the first player to win n points wins the game. assume that n = 3. let x be a random variable that has the value 1 if player a wins the series and 0 otherwise. let y be a random variable with value the number of points played in a game. find the distribution of x and y when p = 1/2. are x and y independent in this case?

Solve this problem! extra ! 3025/5.5 = a/90.75 / = fraction

30 points! here is a you are the new manager at trusty goods wholesale produce. you need to figure out how to adjust the amount of produce in your notes after the events of the day: you got 5 more crates of bananas someone returned 2 crates of apples a worker dropped a crate of grapes (oh no! , you had to throw them out) you sold a crate of bananas you sold 5 crates of apples can you write an expression to describe your day using: "a" for crates of apples "b" for crates of bananas and "g" for crates of grapes? make sure the expression is in simplest form question 2 (3 points) explain your steps using sentences.

Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.