The time required to make a certain coffee at a local coffee shop is uniformly distributed between 35 and 75 seconds. Assuming a customer just ordered one of these specialty coffees, determine the probability described below.

a. What is the probability that the preparation time will be more than 45 seconds?

b. What is the probability that the preparation time will be between 51 and 66 seconds?

c. What percentage of these specialty coffees will be prepared within 68 seconds?

d. What is the standard deviation of preparation times for this specialty coffee at this shop?