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Suppose you shuffle a standard 52-card deck of cards, and stack the deck face down on a table. Let c1 be the top card, and c2 the card directly under c1. If c1 and c2 are both aces, you stop. If not, you put both cards back, reshuffle the entire deck (all 52 cards) and repeat on this newly shuffled deck of 52 cards. You record the total number of repetitions until you stopped. Thus (for example) if on your first attempt both c1 and c2 are aces, you record the number 1.
a) What is the probability that the number of repetitions you had to perform is a multiple of 3? Simplify all geometric series.
b) What is the probability that the number of repetitions you had to perform is a multiple of 3 which is not a multiple of 12? Simplify all geometric series.
Bob, who is different in many ways measures time in days, with 0 corresponding to his birth date. The day before his birth is -1 , the day after his birth is +1 and so on
For M = 2 samples, find h = [h0 h1]', the coefficients of the optimum linear prediction filter of Xn+1, given Xn-1 and Xn. What is the mean square error of the optimum linear predictor?
According to the reading, the company has a financial obligation to its employees. The issue of organizations having the ability to pay the employees
A wide sense stationary, discrete random process, X [ n ] has an autocorrelation function - Find the expected value.
Does the pattern depicted in the graph give you any insight into whether feeding on flower nectar reduces evaporative fluid loss for male crab spiders? Explain.
in sundays indianapolis star there was an artcle talking about all the new grocery stroes opening in indy. one of the
The distance (in miles) are as follows:32,18,44,29,25,38,14,21,and 12. Estimate the mean commute distance of all employees of the company.
The following study was developed by Economist Simon Fass. Fass surveyed a sample population of low-income households in St. Martin. The variables analyzed were monthly income per adult and choice of rental contract for housing.
q1. calculate each of the following values for the data set below assume it is a population.3.42 4.10 4.15 4.19 4.26
What assumptions are required in using the one-way ANOVA?- explain the meaning of each term in the equation, then use the appropriate terms from the equation in presenting and explaining the null hypotheses to be examined.
(a) What decision would maximize expected profits? (b) What is the maximum amount that should be paid for a perfect forecast of the economy?
Many predictions about the future come from regression equations. Use the following data from the Statistical Abstract of the United States.
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