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Consider the following MGF of random variable, X:   MX(t) =…

Consider the following MGF of random variable, X:   MX(t) = 0.21 + 0.30e2t  +  0.20e4t + 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.  

On a product line that you manage, the number of inspections…

On a product line that you manage, the number of inspections until the first failure each day is thought to have the geometric pmf.  For one 6-day week, you collect data: On Monday the first failure occurred on inspection #[a]. On Tuesday the first failure occurred on inspection #[b]. On Wednesday the first failure occurred on inspection #[c]. On Thursday the first failure occurred on inspection #[d]. On Friday the first failure occurred on inspection #[f]. On Saturday the first failure occurred on inspection #[g].  This copywritten question 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 the maximum likelihood estimate of the parameter, p, to three decimal places.  (Remember, if a number has trailing 0s, such as 0.030, Canvas will edit your entry to 0.03.)

The time (in minutes) between buses, X, and the fraction of…

The time (in minutes) between buses, X, and the fraction of the bus that is full, Y, are independent. Their joint pdf is     fXY (x,y) = 0.3e-0.3x  for x > 0 and 0 < y < 1 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, show the pdf of the fraction of the bus that is full.  Use proper notation, remember to include the range,  and explain how you arrived at your answer.  You do not need to use the math editor.

An experimental rocket is being produced.  The rockets are i…

An experimental rocket is being produced.  The rockets are identical and one will be launched each day for 100 days to gather critical data.  Each rocket launch is independent.  The probability that a launch will fail is 0.02.  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 wanted to determine the probability that fewer than two failed launches occur over these 100 days, what is the name of the probability distribution you would use? Enter one word. Spelling counts.

An ASU student is taking two summer courses: MAT 275 and IEE…

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) = [a], F(1) = [b], F(2) = [c], F(3.5) = [d].  Choose the answers closest to yours. 

Partial credit problem:  As in the previous problem, for a g…

Partial credit problem:  As in the previous problem, for a given company the cost function is given by   thousand dollars where x is in thousands of units produced.    To find the derivative we would need to [1] Of the options below which best represents the first derivative A)