3. (15 points / 3 points each) Wait time for a taxi outside Penn Station in New York City is uniformly distributed on the interval (0, 420) where the random variable X is given in seconds.
a. Classify this problem by type using the letter choices:
A. binomial probability problem, C. normal probability problem about a single X,
B. uniform probability problem, D. normal probability problem about a
E. none of the above.
b. What is the probability that you wait more than 3 minutes?
c. What is the probability that you wait less than 2 minutes?
d. What is your expected wait time?
e. 30% of the time you can expect to wait longer than how many seconds for a taxi?