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.

Statistics. ... prudent to run a sensitivity analysis on 5 variables:  The probability of success & ... 6. How many residuals are there in a regression analysis? ...

...Probability must be determined from a table because of the small sample size. Regression. ... After performing an analysis, the regression statistics can be ...

Statistical Analysis of Simulation Results. ... A company produces a product on a ... $200 and $400 of revenue per day according to the uniform probability distribution ...

... be borne out in the attached statistical analysis, it makes ... The probabilities shown above represent the states of ...Probability ABC 0.2 0.5 0.3 Payoff A1 (sell ...

... Weiers, R (2005). Introduction to business statistics. ...probability values directly. Instead, probabilities are given by areas under the curve or graph of. ...

... 38447 Q3. Normal Probabilities. Common Data Mean 70 Standard Deviation 2. Probability for X <= X Value 65 Z Value -2.5 P(X<=65) 0.0062097. ... Descriptive Statistics...

... regression analysis is checked using the residual analysis. The histogram and normal probability plots suggest that ... as well as tests of statistical significance ...

... the worst possible outcomes when the probability is favorable. ... c. the joint probabilities must total less than 1 ... data by seasonal indexes and statistical methods ...

... http://www.stats.org.uk/statistical-inference/KlaymanHa1987 ... event or object through the probability of a ... in making decisions using the probabilities of similar ...

... of problems (ie, is the analysis device flawed and ... Economists apply statistical techniques in predicting future ... in our example could use probability theory to ...