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In a popular computer game the computer picks an integer from 1 to n at random. The player is given k chances to guess the number. After each guess the computer responds "correct," "too small," or "too big."
(a) Show that if n ≤ 2k - 1, then there is a strategy that guarantees you will correctly guess the number in k tries.
(b) Show that if n ≥ 2k - 1, there is a strategy that assures you of identifying one of 2k - 1 numbers and hence gives a probability of (2k - 1)/n of winning. Why is this an optimal strategy? Illustrate your result in terms of the case n = 9 and k = 3.
Develop forecasts for the years 6 through 13 using a 5-year moving average and Weight the most recent year by 6, the previous year by 4, the year before that by 2, and the other years by 1.
use linear regression to forecast values for periods 11 to 13 for the following time
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Using the data from the previous exercise, repeat the calculations by applying the deviation score method; however, assume that the data are for a finite population.
suppose cholesterol levels for adult american women are normally distributed with a mean of 185 mgl and a standard
A random sample of 14 days shows Xbar = $502.95 and s = $64.00. You can assume normality. Using alpha = 4%, is the sampling result significant? Explain.
The number of girls who attend a summer basketball camp has been recorded for the seven years the camp has been offered.
a restaurant chef prepares a tossed salad containing on average 5 vegetables per day. find the probability that the
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Find the value of the liner correlation coefficient r, and then find the regression equation of the following table. A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies.
the author recorded actual temperatures along with temperatures that were predicted 5 days earlier. results are listed
Suppose that A makes a statement, and then D says that C says that B says that A was telling the truth. What is the probability that A was actually telling the truth?
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