Twenty-five students want burritos, but the dining hall only has one burrito maker. Each burrito takes an average of 72.5 seconds to cook, with standard deviation 3.2 seconds.
a. Estimate the probability that all twenty-five students can cook their burritos in half an hour or less, if we ignore the time in between the consecutive students.
b. Estimate the probability that all twenty-five students can cook their burritos in 2300 seconds or less, if we assume that there is an exact 20-seco-nd delay in between each pair of consecutive students.
c. Estimate the probability that all twenty-five students can cook their burritos in 2300 seconds or less, if we assume that there is a normally distributed delay in between each pair of consecutive students, with average delay of 20 seconds between consecutive pairs of students, and standard deviation of I seconds.