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A person enters a bank and finds all of the four tellers busy serving customers. There are no other customers in the bank, so the person will start receiving service as soon as one of the customers in service leaves. Customers have independent, identical, exponential distribution of service time with mean 1/μ.
a) What is the probability that the person will be the last to leave the bank assuming no other customers arrive? Explain your answer fully.
b) If the average service time is 1 minute, what is the average time the person spend in the bank?
For the sample of men, performance on the simulator task declined by an average of 2.9 points with s = 4.1. Is this a statistically significant change? Use a two-tailed test with = .05.
Suppose that the risk of allergies for the children of nonsmokers is 0.15. What is the risk of allergies for the children of smokers?
The standard deviation, over a long period of time, was computed to be 0.150 mm. What percent of the ball bearings on this line will have diameters of 20.27 mm or more?
Schadek Silkscreen Printing, Inc. purchases plastic cups on which to print logos for sporting events, proms, birthdays, and other special occasions. What is the estimated proportion defective in the population?
Ssample by constructing a histogram and finding the sample mean and standard deviation, are we investigating the sampling distribution of the mean? why or why not?
The following data are daily price quotations of two stocks: Stock A: 12.50, 12.75, 12.50, 13.00, 13.25, 13.00, 13.50, 14.25, 14.00. Is there a correlation between the two stocks? Explain.
History suggests that the average number of hurricanes formed during a year is 6.0 hurricanes. Find the probability of at most three hurricanes being formed during a randomly selected year.
Identify the population parameter of interest in the survey. Give a point estimate of the population parameter. Set up H0 and Ha for testing whether the true percentage of TV viewers who find cable news to be better quality than network news differs..
Find a 95% confidence interval for the mean amount spent by patients at the pharmacy. Show your calculations and/or explain the process used to obtain the interval.
Find an unbiased estimator of mp(1 - p)/n. Find the optimal estimator using the Rao-Blackwell Theorem.
Find the probability that there are enough seats for all the passengers who show up. How many passengers are expected to show up?
True mean when using a confidence interval of 95%. The standard deviation is estimated at $25. How many lunch receipts must they sample?
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