Upper and lower surfaces of a bus bar are convectively cooled by air at T, with hu hl . The sides are cooled by maintaining contact with heat sinks at To, through a thermal contact resistance of Rt,c. The bar is of thermal conductivity k, and its width is twice its thickness L. Consider steady-state conditions for which heat is uniformly generated at a volumetric rate q . due to passage of an electric current. Using the energy balance method, derive finite-difference equations for nodes 1 and 13

ENGR 3341 Probability Theory and Statistics Prof. Gelb Week 2 homework solutions Textbook problems: Section 1.5: Problem 25: A professor thinks students who live on campus are more likely to get As in the probability course. To check this theory, the professor combines the data from the past few years: 1. 600 students have taken the course. 2. 120 students have got As. 3. 200 students lived on campus. 4. 80 students lived off campus and got As. Does this data suggest that “getting an A” and “living on campus” are dependent or independent Solution: let C be the event that a random student lives on campus and A be the event that he/she gets an A. We have: 120