Discuss the below:
Q1. The time that the customers at the "self serve" check out stations at the Mejers store spend checking out follows a uniform distribution between 0 and 3 minutes.
a. Determine the height and draw this uniform distribution.
b. How long does the typical customer wait to check out?
c. Determine the standard deviation of the wait time.
d. What is the probability a particular customer will wait less than one minute?
e. What is the probability a particular customer will wait between 1.5 and 2 minutes?
Q2. A cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters. Actual quantities dispensed vary and the amounts are normally distributed with a standard deviation of 0.015 liters.
a. What is the probability a bottle will contain between 2.02 and 2.04 liters?
b. What is the probability a bottle will contain between 2.00 and 2.03 liters?
c. What is the probability a bottle will contain less than 2 liters?
d. How much cola is dispensed in the largest 4% of the drinks?
Q3. A new drug has been developed that is found to relieve nasal congestion in 90 percent of those with the condition. The new drug is administered to 300 patients with this condition. What is the probability that more than 265 patients will be relieved of the nasal congestion?