Directions: For all of the following problems that ask you to compute a probability for a binomial random variable, you should use either dbinom() or pbinom() where appropriate and state the command you used. Do not use the binomial table in R.
Notational Pointer: When you read Section 3.5 (you are reading the textbook, right?), you will notice that Devore and Berk use the notation \(b(x; n, p)\) and \(B(x; n, p)\) for the probability mass function and cumulative distribution function, respectively, of a binomial random variable from \(n\) trials with success probability \(p\). You are welcome to use this convention, but I will not.
58: For this problem only, compute the probabilities directly from the the formula for the binomial pmf, not using R.
60, 62, 66, 70, 72