Consider a dentist's office where the waiting room times U is uniformly distributed between 0 and 12 minutes(I.E. U- Uniform(0,12)).

a. 1% of patients have to wait for over 11 minutes and how many seconds (note you need to convert the decimal places to seconds)? Note that I am asking for the 99th percentile. Enter the number of seconds as a single whole number with no decimal place (hint the quantile function for a Uniform random variable U ~ Uniform(a, b) is given by

Qu(p) = F= ' (p) = bp + a (1 - 1))

b. What is the probability that you have to wait for more than 7 minutes (round your answer to 1 decimal place)?

c. What is the median of the waiting times? Enter your answer

in minutes.

d. What is the mean of the arrival times? Enter your answer in mins