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The weight of foot ball players is noramlly distributed with the mean of 200 pounds and standard deviation of 25 pounds. Find out the minimum weight of middle 95% of the players?
Statistics and Probability, Statistics
1) Compute the area under the standard normal curve in the interval [-.75, .75]. What is the 75th percentile of the standard normal curve? 2) There is a data set that closely follows a normal distribution with standard d ...
An analysis of water testing to determine lead content was conducted in the metropolitan area. Specifically samples were taken at 100 homes in the area of Guaynabo and another 100 samples were taken in the area of Hato R ...
An Inventory Model - A hot dog vendor operates a stand where the number of hot dogs he sells each day is modeled as a Poisson random variable with a mean value of 100. Let represent the number of hot dogs the vendor has ...
In a digital communication system, a block of data bits is mapped into an -bit codeword that typically contains the information bits as well as redundant bits. This is known as an block code. The redundant bits are inclu ...
Consider a geometric random variable, Find the entropy of this random variable as a function of p .
A pair of random variables has a joint PDF specified by f X,Y (x,y) = dexp(-(ax 2 +bxy+cy 2 )). (a) Find the constant in terms of ,a , b and c . Also, find any restrictions needed for a , b and c themselves for this to ...
Let X be a Gaussian random variable and let Y be a Bernoulli random variable with Pr(Y=1) = p and Pr (Y=-1)= 1-p. If X and Y are independent, find the PDF of Z=XY. Under what conditions is Z a Gaussian random variab ...
Suppose X and Y are independent and exponentially distributed both with unit-mean. Consider the roots of the quadratic equation (a) Find the probability that the roots are real. (b) Find the probability that the roots ...
The unit impulse response of a discrete linear filter is The autocorrelation function for the input random sequence is Determine the cross-correlation function between the input and output random sequence.
A shot noise process with random amplitudes is defined by where the are a sequence of points from a Poisson process and the A i are IID random variables which are also indpendent of the Poisson points. (a) Find the mean ...
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