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Question: Every day, John buys a lottery ticket with the number 777 for the lottery described in Example. He has played 999 times and has never won. He reasons that since tomorrow will be his 1000th time and the probability of winning is 1/1000, he will have to win tomorrow. Explain whether John's reasoning is correct.
Example: A Simple Lottery A lottery game that is run by many states in the United States is one in which players choose a three-digit number between 000 and 999. A player wins if his or her three-digit number is chosen. If we assume that the physical mechanism that is used to draw the winning number gives each possibility an equal chance, we can determine the probability of winning.
an inverted conical tank with a height of 6ft and a radius of 3ft is drained through a hole in the vortex at a rate of
Assume that each of the following studies cannot be analyzed using a parametric procedure. For each of the following studies (below), indicate the appropriate nonparametric procedure, and explain why you chose it.
Repeat Exercise 21 but add the ability to enclose expressions with parentheses, to control how expressions are grouped together. Thus, the value of ((3 + 4)× 5) * 2 is 1225.
When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 40% had impurity A, and 50% had impurity B. (Obviously, some had both impurities...
kip is comparing the numbers of live births that women from different states have had by their 50th birthdayor death if
For a normal population with u. = 80 and a = 20 which of the following samples is least likely to be obtained?
How to get original X variable in terms of the variance-covariance matrix for the regression coefficients pertaining to the transformed x variable? Y^=b0+b1x+b11x^2, x=X-mean(X), we get b0'=b0-b1mean(X)+b11(X^2),b1'=b1-2b1mean(X), b11'=b11
Assume they select randomly. What is the probability that all 4 winners will select the same type of tree?
Verify that the Wilcoxon-Mann-Whitney test rejects at the 0.05 level, but none of the other methods in Section 8.8 reject. What might explain this?
Three research departments have 7 ,9 , and 10 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?
The mean SAT verbal score is 412, with a standard deviation of 90. Use the Empirical Rule to determine what percent of the scores lie between 412 and 592.
All 10 of these customers used a credit or a debit card. If the NACS statistic applies to this area, determine the probability that 10 out of 10 customers.
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