1. At a factory, the fill volume of Coke cans is normally distributed with a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce.
a. What is the probability a fill volume is less than 12 fluid ounces?
b. If all Coke cans less than 12.1 or greater that 12.6 ounces must be destroyed, what proportion of Coke cans are destroyed?
c. Determine specifications that are symmetric about the mean that include 99% of all Coke cans.

2. The life of an electrical item at constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours.
a. What is the probability that an item fails before 5000 hours? Answer 0.00043 ?
b. What is the life in hours that 95% of the items exceed? Answer 6016 ?
c. If three of the electrical items are used in the same larger equipment and they are assumed to fail independently, what is the probability that all three are still operating after 7000 hours? Answer 1/8 ?

Solution Summary

This solution shows step-by-step calculations to determine questions on probability, proportion, and symmetric specifications.

The centers for disease control say that about 30% of high school students smoke tobacco (down from a high of 38% in 1997). Suppose you randomly select high-school students to survey team on their attitudes toward scenes of smoking in the movies. what's the probability that
A) none of the first 4 students you interview is a

Select the appropriate statistical test that allows you to conduct an analysis of the factors affecting hospital costs. You will have to select the correct statistical test and conduct that test in Excel.
1. Analyze your data and produce a summary describing the major findings of your analysis.
2. The variables that most

" A company produces a product on a number of machines. Each machine generates between $200 and $400 of revenue per day according to the uniform probability distribution. When a machine breaks down, it must be repaired, and the repair time may take 1, 2, or 3 days to be completed according to the following probability di

1) Consider a regular deck of cards where the cards ace, jack, queen, and king are numbered 1, 11, 12, and 13 respectively. Consider the experiment of drawing two cards randomly from this deck without replacement.
a. Describe the outcomes of this experiment. List the elements of the sample space.
b. What is the probability o

1. Suppose the annual return on XYZ stock follows a normal distribution with mean 0.12 and standard
deviation 0.30.
a. What is the probability that XYZ's value will decrease during a year?
b. What is the probability that the return on XYZ during a year will be at least 20%?
c. What is the probability that the return on

How the following statistical devices can be used in business today? Describe their usefulness and how businessman can be benefit, or how to help them in making sound decisions. (Explain individually)
--probability
--probability distributions
--normal distribution
--permutation and combinations

This solution provides the learner with a real world example of a statistical sample and poplulation. The solution further compares and contrasts probability sampling with non probablilty sampling and provides a real world example of each.

A statisticalanalysis of 1000 long distance telephone calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed with u=240 seconds and sigma = 40 seconds.
a. What is the probability that a call lasted less than 180 seconds.
b. What is the