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 5 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.
a. Find the mean, variance, and standard deviation for the Bacon Number.
b. Find P(X ≥ μ - σ).
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.