You've seen that a cumulative binomial probability is the probability of getting a number of successes within a given range. It's easiest to use your calculator's binomcdf command to find these. Find each of the probabilities described below. Show your work, and round your answer to three
decimal places.

What is the probability that Mr. Jackson will roll a 4 at most 5 times out of his 30 rolls of a number cube?

What is the probability that Mr. Jackson will roll a 4 at least 5 times out of his 30 rolls of a number cube?

What is the probability that Mr. Jackson will roll a 4 between 3 and 7 times, inclusive, out of his 30 rolls of a number cube? Use this formula: P(a ≤ x ≤ b) = binomcdf(n, p,b) – binomcdf(n, p,a – 1).