94.

Six different colored dice are rolled. Of interest is the number of dice that show a one.

1. In words, define the random variable X.
2. List the values that X may take on.
3. Give the distribution of X. X ~ _____(_____,_____)
4. On average, how many dice would you expect to show a one?
5. Find the probability that all six dice show a one.
6. Is it more likely that three or that four dice will show a one? Use numbers to justify your answer numerically.