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1. Shopper Trak is a hidden electric eye designed to count the number of shoppers entering a store. When two shoppers enter the store together one walking in front of the other, the following possibilities apply. There is a 0.98 probability that the first shopper will be detected and a 0.94 probability that the second shopper will be detected and a 0.93 probability that both of them will be detected by the device. What is the probability that the device will detect at least one of the two shoppers entering together?
2. A statistics professor has found that the probability is 0.74 that a student gets a B- or above for the final examination. He also found that the probability of 0.67 that a student gets a B- or above for both the final exam and the course. If a randomly selected student has already gotten a B- or above for the final exam taken yesterday what is the probability he will get a B- or above for the course when the grade report arrives next week?
For a binomial probability experiment, with n=150 and p=.2, it is appropriate to use the normal approximation to the binomial distribution.
Following are the data collected. Should the head of the Bureau be concerned about the time taken at lunch by employees? Why?
At the .01 significance level, can we conclude that there is more variation?
What does the standard deviation mean? Interpret the standard deviation relative to the average or mean?
Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:
Prepare a mixed integer programming model for this problem.
Find a 90% confidence interval for the mean decibel level µ for this type of transit vehicle.
What decision should be made regarding the null hypothesis?
Data in table represent number of consumer complaints against major U.S. airlines. If one complaint from table is arbitrarily chosen, determine the probability that it was filed against United Airlines.
With this information, by constructing a 2 by 2 table, compute the predicative value positive and predictive value negative of the ELA in hypothetical population of 1000000 blood donors.
Write up your results by using scientifically recognized form.
Suppose population standard deviation for those drinking regular coffee is 1.20 cups per day and 1.36 cups per day for those drinking decaffeinated coffee.
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