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Suppose is a circular Gaussian random variable whose PDF is described by Equation,
(a) Find the PDF of the magnitude, for the special case when
(b) Find the PDF of the magnitude for the general case when
(c) For the case when show that the PDF of the phase angle is well approximated by a Gaussian PDF. What is the variance of the Gaussian PDF that approximates the PDF of the phase angle.
What is the probability of the person is 20 to 24 years old.What is the probability of the person is 20 to 34 years old.
The insurance premium is $400 times one's probability of causing an accident in the following year. A new subscriber has an accident during the first year. What should be his insurance premium for the next year?
The Starbucks in the Bauer College of Business found that 24% of customers purchase more than one cup of coffee per day from their shop. If 180 customers are randomly selected one day, what is the probability that no less than 25% of them purchase..
One state lottery has 500 prizes of $1, 75 prizes of $15, 15 prizes of $100, 5 prizes of $450, 2 prizes of $1225, and 1 prize of 2500. Assume that 28,000 lottery tickets are issues and sold for $1. What is the lottery's expected profit per ticket?
What is the mean and standard deviation of the sampling distribution when we take all samples of size25?
what happens to the length of a 95% confidence interval for a population parameter when the sample size is reduced by half?
Consumer Price Index is: a. a weighted aggregate price index where the weight for each item is its current-period quantity. b. a weighted aggregate price index where the weight for each item is its last-period quantity. c. an index that is designed t..
assume that womens heights are normally distributed with a mean of 63.4 in and a standard deviation of 1.7 in.a. if 1
A meteorologist wishes to estimate the mean amount of snowfall per year in Spokane, Washington. A random sample of the recorded snowfalls for 20 years from a 140 year period produces a sample mean equal to 54.03 inches, with a standard deviation of 9..
Repetitions of numbers are not permitted, i.e., the same number cannot be used more than once in a total sequence. As examples, 27, 94 or 55 would not be permitted. How many different code groups can be designed?
Let X be an infinite set. Let T consist of the empty set and all complements of finite subsets of X . Show that T is a topology in which every singleton {x} is closed, but T is not metrizable. Hint: A sequence of distinct points converges to every..
A PC manufacturer claims that no more than 2% of their machines are defective. In a random sample of 100 machines, it is found that 5% are defective. The manufacturer claims this is a fluke of the sample.
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