1. 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?

2. 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?

3. 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?

Solution Summary

The solution determines the height and uniform distribution for a customers `self serve`check out station times. The standard deviation of the wait time is determined.

Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution. Complete parts (a) through (e).
X 0 1 2 3 4 5 6 7 8
P(x) 0.02 0.04 0.05 0.05 0.11 0.24

1. Population mean = 19.1
15% of data 22.6
Find standard deviation.
2. Population mean 120
Standard deviation 5.7
What is the probability an individual between 120 and 121.3?
3. Population mean 120
Standard deviation 5.3
Sample n =30
Find probability that the sample mean is between 120 and 121.8.
4. Theatre has

The score distribution shown in the table is for all students who took a yearly AP stats exam.
Score Percent of Students
5 13.3
2 21.9
3 24.9
2 17.8
1 22.1
Find the mean AND standard deviation:

1. A card is drawn from a deck of 52 cards. What is the probability that it is an ace or a six?
2. The proability that a person has immunity to a particular disease is 0.3. Find the mean and standard deviation for the random variable x, the number of people who have immunity in samples of size 28.
3. The variable X is norm

The IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
1. What is the probability that a random person has an IQ between 85 and 115?
2. Find the 90th percentile of the IQ distribution.
3. If a random sample of 100 people is selected, what is the standard deviation of the sample mean?

Consider the following probability distribution of returns for Alpha Corporation:
Current Stock Price ($25):
One Year ($) $35, $25, $20;
Return R: 40%, 0%, -20%;
Probability PR: 25%, 50%, 25%.
(A). Compute the expected return for Alpha Corporation.
(B). Compute the standard deviation of the return on Alpha Corporati

Hello. Can anybody help e with these 6 example questions that were created. I want to use them as a study guide.
1. An unprepared student makes random guesses for the 10 true-false questions on a pop quiz. Find the probability that there is at least once correct answer.
2. A box contains four red, three blue, and six g

The random variable X is the number of houses per month sold by a realtor. The probability distribution is given below. Find the mean and standard deviation of X:
X (houses sold) / f(x)
____________________________________________
(0 , 0.24)
(1 , 0.01)
(2 , 0.12)
(3