Random variable Y can equal 1, 2, 3, ….    This question is copywritten by Dr. L. Chattin and is part of a quiz or exam given at Arizona State University. It may not be posted or reproduced without permission from Dr. L. Chattin. What distribution might Y have?  Select the best answer.

X, the time until the first arrival to an ATM, has the exponential pdf with mean equal to 6.4 minutes.  This question is copywritten by Dr. L. Chattin and is part of a quiz or exam given at Arizona State University. It may not be posted or reproduced without permission from Dr. L. Chattin.  If we start watching the ATM at 9 am and at 9:02 am no arrival has occurred, the probability that the first arrival will occur after 9:0[x] am is _______________. Answer to four decimal places.  Hint: You will need to apply a certain property here.

Let X have the Poisson pmf with

Suppose that X has the Discrete Uniform distribution with x = 0, 1, 2, 3, 4, 5.    This copywritten question is part of an exam or quiz at Arizona State University.  It may not be posted or reproduced without the permission of Dr. L. Chattin and Arizona State University.  Recall that, when X ~ Discrete Uniform,

X and Y are independent random variables with the following joint probability distribution:    for 1 < x < 6, 2 < y < 4        This copywritten question is part of an exam or quiz at Arizona State University and may not be posted to Chegg.com or any other online site.   Determine

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. 

I understand that I am not permitted to take a screenshot or photo of any question on this quiz

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.