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Question: A stick of length 1 is broken at a uniformly random point, yielding two pieces. Let X and Y be the lengths of the shorter and longer pieces, respectively, and let R = X/Y be the ratio of the lengths X and Y.
(a) Find the CDF and PDF of R.
(b) Find the expected value of R (if it exists).
(c) Find the expected value of 1/R (if it exists).
For the binomial lattice model, Sn = S0 Y1 × · · ·×Yn , suppose p = 0.75,d = 0.90, u = 1.5:When r = 0.05: Show that the stochastic process Mn = Sn /(1 + r)n , n ≥ 0, forms a SUBmartingale.
a. Set up a spreadsheet simulation model in which whether Atalanta wins each game is a random variable b. What is the probability that the Atlanta Braves win the World Series c. What is the average number of games played regardless of winners
Late payment of medical claims can add to the cost of health care. State the null hypothesis, State the alternative hypothesis. Perform the hypothesis test and state your conclusions and evidence
let p1 be the proportion of successes in the first population and let p2 be the proportion of successes in the second
of federal taxpayers who itemize their deductions and have adjusted gross incomes between 35000 and 50000 the dollar
Yet in the city as a whole, about 29%of the eligible jurors were women. Let p denote the probability that a juror drawn by the judge is a woman. Then to test the judge’s fairness in selecting women, what null hypothesis should be? What alternative hy..
a survey revealed the amount of pocket money held by each student in a sample of students. the amounts in dollars are
Suppose you have a confidence interval based on a sample of size n.- Using the same level of confidence, how large a sample is required to produce an interval of one-half the width?
Post, present, and report a descriptive analysis for your variables, specifically noting the following:
You plan to start saving for your son's college education.- If an annual deposit of $1,484 will allow you to reach your goal, how old is your son now?
Johnny Comlatey has 53% of votes among all voters in two-way race. Probability that newspaper's poll of 380 voters would forecast Johnny Comlatey's opponent the winner is?
the manufacturing of a layered material requires three steps which each require a certain amount of time. these steps
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