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In a simple model of a cellular telephone system, a portable telephone is equally likely to be found anywhere in a circular cell of radius 4 km. (See Problem 4.5.3.) Find the CDF FR(r) and PDF fR(r) of R, the distance (in km) between the telephone and the base station at the center of the cell.
Problem 4.5.3
Over the circle X2 + Y2 ≤ r2, random variables X and Y have the uniform PDF
(a) What is the marginal PDF fX (x)?
(b) What is the marginal PDF fY (y)?
an old saying in golf is you drive for show and you putt for dough. the point is that good putting is more important
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Show that there is a continuous function from [0, 1] onto Tin≥1[0, 1]n , a countable product of copies of [0, 1], with product topology. Hint: Take the sequence f (k) as in Problem 10. Let Fk (t )n := f (k)(t )n for n ≤ k, 0 for n > k. Show that F..
consider the stationary arma21 process yt yt-1 0.6yt-2 et - 0.5et-1.a. show that its autocorrelation function acf
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You wish to determine whether consumers have made substantial progress in reducing their credit card debt? Based on a sample of 1000 consumers in September 2001,
Normally distribution with µ=8 minutes and σ=2 minutes. If you select random samples of 25 calls, what percentage of the sample means would be between 7.8 and 8.2 minutes?
According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
to evaluate the performance of a certain brand of alkaline battery researchers at a consumer testing laboratory measure
If the data produce a t statistic of t = 2.50, then which of the following is the correct decision for a two-tailed hypothesis test?
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