Six Degrees of Kevin Bacon The actor Kevin Bacon has been in so many movies that almost everyone in Hollywood can be connected to him within six degrees. Let n = 1,326,359, the number of actors linked...

Six Degrees of Kevin Bacon The actor Kevin Bacon has been in so many movies that almost everyone in Hollywood can be connected to him within six degrees. Let n = 1,326,359, the number of actors linked to Kevin Bacon. The probability distribution for the Bacon Number of a randomly selected Hollywood personality is given in the following table." xlo p(x) 1/n 839,562/n 1397/n p(x) 2511/n 204,764/n 204/n 2 5 px) 262,544/n 15,344/n 32/n a. Find the mean, variance, and standard deviation for the Bacon Number. b. Find P( X u - o). C. The number of movies, Y, in which a Hollywood personality has appeared is related to the Bacon Number by the formula Y = 2X + 5. Find the mean, variance, and standard deviation of the number of movies in which a Hollywood personality has appeared.