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.

... Inversely related to the population standard deviation? ...questions on binomial and normal probabilities. ... To construct a binomial probability distribution, the ...

... d. Determine the variance and standard deviation of the number of ... The probability distribution formula for the binomial is ... So now we can answer these questions: ...

... can be used to approximate Binomial probabilities when n ... with a mean of 200 and a standard deviation of 40 ... The probability that x< 150 is: 0.1069 0.2276 0.1056 ...

... 100 trainees is selected, what is the probability that the ... 3 standard deviations or 18 6 standard deviations, we are ... of 290 hours and a standard deviation of 6 ...

... distribution to find the expected value of the probability distribution. ... of questions answered correctly is 5.2 with a standard deviation of 1.9 questions. ...

... Data Sample size 7 Probability of an event of ... Statistics Mean 3.5 Variance 1.75 Standard deviation 1.32287566. Binomial Probabilities Table XP(X) 0 0.0078125 1 ...

... σ2 = 1.672 = 1.7 d) The expected value of the probability distribution is 8 E ... of questions answered correctly is 5.4 with a standard deviation of 1.7 ...

... As the standard deviation increases, the standard deviation of the ... Finding Probabilities For a sample with n = 49 ... What is the probability that the mean annual ...

... I student-athletes is 947 with a standard deviation of 205 ... of these students, what is the probability the mean ... For full description of the questions, please see ...

... Y is normal with mean =39% and standard deviation =12%. ... and from normal distribution we can compute the probability. Normal Probabilities Normal Probabilities. ...