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?

Ammonia molecules have three hydrogen atoms and one nitrogen atom.how many of each atom arein five molecules of ammonia

Which sentence uses an objective tone? we will plant the best garden of any school in the area. the new campus garden will surely be envied by other schools. a garden would provide numerous benefits to the students. you will probably agree that gardens have many benefits.

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