Answer bellow question:

Six different colored dice are rolled. Of interest is the number of dice that show a "4." - Part (a) Variable the color of the dice the outcome of the roll of the dice how many dice show a "4" how many dice are rolled Part (b) List the values that X may take on. X = 4 O X = one, two, three, four, five, six O X = two, four, six O X= zero, one, two, three, four, five, six Part (c) Give the distribution of X. (Enter the probability as a fraction.) X - Part (d) On average, how many dice would you expect to show a "4"? die (dice) Part (e) Find the probability that all six dice show a "4." (Round your answer to five decimal places.) - Part (f) Is it more likely that three or that four dice will show a "4"? three dice four dice