Binomial Distribution · Exercise 21

Let X = the number of games won in that upcoming month.

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

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

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §4.3 Binomial Distribution · Exercise 21