Random variable X has the discrete uniform pmf for x = 0, 1, 2 and random variable Y has the discrete uniform pmf for y = 1, 2, 3, 4.  X and Y are independent.  This copywritten question is part of a quiz or exam at Arizona State University. It may not be posted to any website, such as Chegg.com, or reproduced without permission from the author, Dr. L. Chattin, and Arizona State University.  Determine pXY([x], [y]) to four decimal places. 

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Recall that pX|Y(x|y) is the same as saying P(X = x|Y = y) and recall that px(x) is the same as saying P(X = x). When random variables X and Y are independent, pX|y(x|y) = pX(x). This copywritten question is part of a quiz or exam at Arizona State University. It may not be posted to Chegg or any other website or reproduced without permission from the author, Dr. L. Chattin, and Arizona State University.  

Determine the value of k that makes fXY(x,y) a joint probability density function: fXY(x,y) = kxy  for 0 < x < 3 and 0 < y < 3.  This copywritten question is part of a quiz or exam at Arizona State University. It may not be posted to any website, such as Chegg.com, or reproduced without permission from the author, Dr. L. Chattin, and Arizona State University.  Express your answer to four decimal places using conventional rounding methods.

A university tests 30 independent women for signs of a stroke.  The probability that any one of them has one of these signs is 0.20.    This copywritten question is part of a quiz or exam at Arizona State University. It may not be posted on Chegg or any other online site without permission from Dr. L. Chattin.   If you want to determine the probability that two or fewer in this sample show a sign, which distribution will you need to use?  Select the very best answer.

You should be familiar with this example in Chapter 2 of the text.  H is the event a wafer contains high contamination and C is the event that the wafer is in the center of the tool: Contamination Center Location Edge Location Total Low 514 68 582 High 112 246 358 Total 626 314  This copywritten question is part of a quiz or exam at Arizona State University.  It may not be posted or reproduced without the permission of Dr. L. Chattin and Arizona State Univerisity.  Determine the probability that a wafer has low contamination or is in the center of the tool. Express your answer to four decimal places using conventional rounding methods. 

A sample of six parts is pulled from a batch of 134 identical parts.  You want to determine the total number of ways this sample can be pulled.  This copywritten question is part of a quiz or exam at Arizona State. It may not be posted to any website or discord, screenshot, photographed or texted to anyone at any time during this session or semester.   This is an example of [x] order and [y] replacement.  Enter one word for each blank.

What does this equation compute:  E(X2) –

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The smallest value that a Poisson random variable can be is _____.    This copywritten question is part of a quiz or exam at Arizona State University. It may not be posted on Chegg or any other online site without permission from Dr. L. Chattin.