The factor of safety for tipping of the concrete dam is defined as the ratio of the stabilizing moment due to the dams weight divided by the overturning moment about O due to the water pressure. Determine this factor if the concrete has a density of rconc = 2.5 Mg>m3 and for water rw = 1 Mg>m3 .

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