October 24, 2018
###### The admissions director of an engineering college has \$500,000 in scholarships each year from an endowment to offer to high-achieving applicants. The value of each scholarship offered is \$25,000 (thus, 20 scholarships are offered
October 24, 2018

Ali is a fresh graduate of Chemical Engineering and is currently working in a consultancy firm. His supervisor assigns a new task for him to design a reactor that can produce 1,000metric tons of biodiesel per month. Without providing any detailed information, his supervisor requests him to propose a draft of the design within 2 weeks. By referring to the textbook and notes that he used during his undergraduate study, he starts to realize that he actually needs more information such as the production process, the type of reactor, reaction rate law, specific reaction rate constant, conversion, etc. before he can proceed with the reactordesign!I If you were Ali, discuss how and what you should do to solve the problem and complete the task. Hahn Engineering is planning on bidding on a job and often competes against a major competitor, Sweigart and Associates (S&A), as well as other firms. Historically, S&A has bid for the same jobs 80% of the time. If S&A bids on a job, the probability that Hahn Engineering will win it is 0.30. If S&A does not bid on a job, the probability that Hahn will win the bid is 0.60. Apply Bayes’s rule to find the probability that Hahn Engineering will win the bid. If they do, what is the probability that S&A did bid on it?

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