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Question 3a Given the CDF for the continuous random variable X    Compute the probability that x is less than or equal to 3.  This question will be graded entirely on Canvas.  Enter your answer with 4 decimal places.

Which of the following are MISMATCHED?

Question 2b Given the following pmf: Compute the probability that x is less than 2.1.  This question will be graded entirely on Canvas.  Enter your answer with 2 decimal places.   

Which of the following is useful in distinguishing between bacterial, archaeal, and eukaryotic cells?

Question 1 You roll 2 regular 6-sided dice and define x as the absolute value of the difference between the two dice (ex: you roll a 2 and a 4, so x = 2). Write the pmf of x.  This question will be graded entirely on Gradescope, no submission on canvas is necessary.

Question 6a Given the pdf    Compute the probability that x is less than 2. This question will be graded entirely on Canvas. Enter your answer with 4 decimal places.

It is required that everyone taking the online exam certify the official University Oath of Honor, stated below. The Auburn University Oath of Honor:“In Accordance with those virtues of Honesty and Truthfulness set forth in the Auburn Creed, I, as a student and fellow member of the Auburn Family, do hereby pledge that all work is my own, achieved through personal merit and without any unauthorized aid. In the promotion of integrity, and for the betterment of Auburn, I give honor to this, my oath and obligation.” Typing your name in the answer space provided will be considered your pledge/certification that you will follow the University Oath of Honor  on this exam.

[Example of a Multiple Answers question.] When Honorlock requests that you scan your work area with a connected camera, you must make every effort to clearly and thoroughly show which of the following? (Select all that apply.)

Question 6b Given the pdf    Compute the probability that x is greater than 1. This question will be graded entirely on Canvas.  Enter your answer with 4 decimal places.

Question 1 : 24 points (proportional time is 11 minutes) Many Auburn fans love wearing hats with the AU logo, and there are 4 different companies that produce hats to supply 2 local stores. Each company makes the physical hat, but then the hats have to be sent to one of two available printing companies to have the AU logo printed on the hat before the hats can be delivered to the stores to be sold.  The production costs per hat are different at each factory.  Production costs are $1.5, $1.75, $1.25, and $1.85 at factories 1,2,3, and 4 respectively. Printing one hat at printer 1 costs $0.25 and printing one hat at printer 2 costs $0.3. Store 1 charges an additional $0.05 processing fee for each hat that arrives at the store. Each printer can only print 400 hats. The maximum number of hats that can be produced at each factory as well as the demand at each store are given below.     Capacity Factory 1 150 Factory 2 300 Factory 3 250 Factory 4 200     Demand Store 1 300 Store 2 250   Draw the complete MCNF Diagram for the problem.