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Normal Distribution
1a. At an airport, the weights of suitcases (in kg) were measured. The weights are normally distributed with a mean of 20kg and standard deviation of 3.5kg. Find the probability that a suitcase weighs less than 15kg.
1b. Any suitcase that weighs more than "k" kg is identified as excess baggage. 19.6% of the suitcases at this airport are identified as excess baggage. Find the value of k.
What is the distribution of the nonconforming items in the sample?- Find the probability of obtaining no more than 3 nonconforming items in the sample.
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Formulate and LP model for this problem using Excel. Sketch the feasible region for this problem using Excel. Find the optimal solution
A study was done to determine whether the gender of the credit card holder was an important factor in generating profit for a certain credit card company. The variables considered were income, the number of family members, and the gender of the cr..
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Estimate with 95% confidence the mean reduction in time it takes for someone who has taken the sleeping pill to fall asleep.
Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia, Pennsylvania, are normally distributed, with a mean average.
In a bottling process, a manufacturer will lose money if the bottles contain either more or, less than is claimed on the label. The quality manager of a plant is interested in testing whether the mean ounces of catsup per family size bottle differ..
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A survey of licensed drivers inquired about running red lights. One question asked, "Of every ten motorists who run a red light, about how many do you think will be caught?"
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