An Exponential random variable is ________________. Select the best answer.

A prize will be given to the 5th visitor to an amusement park this weekend. Arrivals to the park are according to a Poisson process. If you wanted to determine the probability that the 5th visitor will arrive in the first 5 minutes, and you define X to be the time that the 5th visitor arrives to the park, X has the ______ distribution.  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. Determine Express your answer as one word.  Spelling counts. 

X, the time between arrivals to an ATM, has the exponential pdf with mean equal to 2 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. The probability that there are 5 or fewer arrivals in a 12-minute period is _________.    Select the answer closest to yours.

An Erlang random variable is ___________________.  Select the best answer.

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.