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?

You are on a cycling trip around europe with friends. you check the weather forecast for the first week. these are the temperatures for the week. sun mon tues wed thurs fri sat 16°c 20°c 24°c 28°c 28°c 23°c 15°c what is the mean temperature forecast for the week?

What properties allow transformation to be used as a problem solving tool

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered