1. (25 pts.) The class registrations of 50 mechanical engineering students are analyzed. It is found...

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1. (25 pts.) The class registrations of 50 mechanical engineering students are analyzed. It is found that: *5 students take all three subjects (Dynamics, Statistics, and Fluid Mechanics), 18 students take Dynamics and Statistics, *9 students take Dynamics and Fluid Mechanics, * 7 students take Statistics and Fluid Mechanics, * 29 students take Dynamics, * 15 students take Fluid Mechanics, 1 student takes none of the three. (1) How many students take only Statistics? Statistics (4) n(Statistics Dynamics) = ? Dynamics (2) What is the probability that a student selected at random takes all three, given she/he takes Statistics? (5) n(Statistics Fluid Dynamics) = ? Fluid (3) If one of the students who take at least two of the three courses is chosen at random, what is the probability that he or she takes all three courses? 1. (1 pts) For each of the following mechanism of material failure, determine the load type. (1) Tensile testing (2) Impact (A) Static Load (B) Dynamics Load (A) Static Load (B) Dynamics Load (A) Static Load (B) Dynamics Load (A) Static Load (8) Dynamics Load (3) Creep (4) Fatigue 2. (1.5 pts) Multiple choice (1) Based on the diagram of impact energy vs temperature cures, which material shows ductile-to-brittle transition? (A) Material 1 (B) Material 2 (C) Both (D) Neither Impact energy Material 1 Material 2 Temperature 1. (25 pts.) The class registrations of 50 mechanical engineering students are analyzed. It is found that: *5 students take all three subjects (Dynamics, Statistics, and Fluid Mechanics), 18 students take Dynamics and Statistics, *9 students take Dynamics and Fluid Mechanics, * 7 students take Statistics and Fluid Mechanics, * 29 students take Dynamics, * 15 students take Fluid Mechanics, 1 student takes none of the three. (1) How many students take only Statistics? Statistics (4) n(Statistics Dynamics) = ? Dynamics (2) What is the probability that a student selected at random takes all three, given she/he takes Statistics? (5) n(Statistics Fluid Dynamics) = ? Fluid (3) If one of the students who take at least two of the three courses is chosen at random, what is the probability that he or she takes all three courses? 1. (1 pts) For each of the following mechanism of material failure, determine the load type. (1) Tensile testing (2) Impact (A) Static Load (B) Dynamics Load (A) Static Load (B) Dynamics Load (A) Static Load (B) Dynamics Load (A) Static Load (8) Dynamics Load (3) Creep (4) Fatigue 2. (1.5 pts) Multiple choice (1) Based on the diagram of impact energy vs temperature cures, which material shows ductile-to-brittle transition? (A) Material 1 (B) Material 2 (C) Both (D) Neither Impact energy Material 1 Material 2 Temperature