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Let X be the number of telephone calls you receive in a day. Suppose that on average, you receive 8 phone calls per day. (a) What is the probability that you receive exactly one phone call tomorrow? (b) What is the probability that you receive at least two phone calls tomorrow? 2. Let X be the number of people visiting an art show on a given day. Suppose that the average number of people to visit is 10 per day. (a) What is the probability that exactly 8 people come? (b) What is the probability that 20 people come over the next three days? (c) What is the probability that 8 people come on exactly one of the next three days?
Suggests a survey of area restaurants to see if the situation is pervasive. What do you think of this research suggestion? How could you improve on your boss's formulation of the research question?
In the past HR uses an average of 25 vacation days per worker in order to make available man-hour and payroll predictions. Is there evidence to show that the number of vacation days decreased over the past year? Use alpha = .05
Obtain a test statistic and p-value assuming equal variances. Interpret these results.
The monthly utility bills are normally distributed with a mean value of $130 and a standard deviation of $15.
The following represents a project that should be scheduled using CPM. What is the probability of completing this project within 16 days?
Five have a 3/10,000 chance for failure. Four have a 4/10,000 chance for failure. One componet has a 1/100 chance for failur. What is the overall reliability of the product?
Find the probability that exactly 15 flights arrive on time.
Major hurricane will strike the U.S. mainland, b) at most one major hurricane will strike the U.S. mainland, and c) more than one major hurricane will strike the U.S. mainland.
A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.
The average number of calories in a small chocolate bar is 225. Suppose that the distribution of calories is approximately normal with 10. Find the probability that a randomly selected chocolate bar will less than 200 calories.
Using these data, construct a 99% confidence interval to estimate the average number of days and excavator is rented to a client, and assume the number of days per rental is normally distributed in the population.
What are the assumptions and requirements for an LP model to be formulated and used? Under what conditions will an LP problem: be unbounded? be infeasible? have more than one optimal solution?
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