Determine the value of d that makes p(x) a valid probability mass function.  This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out. Express your answer to two decimal places. p(x) = 3/(6d)    for x = 0         = 7/(2d)   for x = 1          = 3/(4d)  for x = 2

Weights, in grams, of a particular part were recorded and broken down as follows: [0, 0.5): 15 [0.5, 1): 20 [1, 1.5): 20 [1.5, 2): 15  This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out.   If you performed a Chi-Square Goodness of fit test on this data to determine if it has the exponential pdf, how many degrees of freedom would the test statistic have?    

A packaging plant at Acme manufacturing has boxes that hold eight parts.  These parts arrive to the packaging station according to a Poisson Process at a rate of 6 parts/hour.   This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out. The box will be loaded onto a truck when it is full.  A full box has just been loaded onto a truck and the next empty box is ready to be filled.  Determine the probability that this box will be filled in one hour or less. Enter your answer to four decimal places.    

Weights, in grams, of a particular part were recorded and broken down as follows: [0, 0.5): 15 [0.5, 1): 20 [1, 1.5): 20 [1.5, 2): 15  This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out.   Perform a Chi-Square Goodness of fit test on this data to determine if it has the exponential pdf with

Random variable, X, has the MGF :   MX(t) = 0.21 + 0.30et  +  0.20e3t + 0.29e6t This question is part of a quiz or exam given at Arizona State University, copywritten by Dr. L. Chattin.  It may not be reproduced, posted or distributed without permission of Arizona State University and L. Chattin  In the space below and using proper notation, show the pmf of the random variable corresponding to this MGF.  Use proper notation. Partial credit possible.

A psychology experiment asked 20 people to choose a number: 1, 2, 3, or 4.  The experimenter believed that these numbers would be chosen according to a discrete uniform distribution. 6 people chose the number 1 3 people chose the number 2 8 people chose the number 3 3 people chose the number 4 This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out. Perform a Chi-Square Goodness of Fit test on this data.  The p-value for this test is ___________.  Enter your answer to 3 decimal places.].  

Thickness measurements of a coating process are made to the nearest tenth of a millimeter. The thickness measurements are have the discrete uniform pmf with values 1.0, 1.1, 1.2. This copywritten question is part of a quiz or exam at Arizona State.  It may not be posted or reproduced without the permission of the author, Dr. L. Chattin, and Arizona State University.  The standard deviation of the thickness is ______ mm. Express your answer to four decimal places.

If X and Y are independent, then _________.  This question is part of a quiz or exam given at Arizona State University, copywritten by Dr. L. Chattin.  It may not be reproduced, posted or distributed without permission of Arizona State University and L. Chattin.   Select the answer that best completes the sentence. 

An ASU student is taking two summer courses: MAT 275 and IEE 385.  The grades that the student will receive are assumed to be independent.  The probability that the student gets a C or better in MAT 275 is 0.75 and the probability that the student gets a C or better in IEE 385 is 0.78.  This copywritten question is part of a quiz or exam at Arizona State.  It may not be posted or reproduced without the permission of the author, Dr. L. Chattin, and Arizona State University.  X is the number of summer courses in which the student gets a C or better. F(0) = , F(1) = , F(2) = , F(3.5) = .  Choose the answers closest to yours. 

Below is the moment generating function for random variable, X: MX(t) = (2/6)et + (1/2)e2t This question is part of a quiz or exam given at Arizona State University, copywritten by Dr. L. Chattin.  It may not be reproduced, posted or distributed without permission of Arizona State University and L. Chattin.  V(X) = _______. Answer to four decimal places.