A system filled with a liquid is shown below. On the left there is a piston in a tube of cross-sectional area A1 with a force F1 applied to it, and on the right there is a piston in a tube of crosssectional area A2 that is twice that of A1 and a force F2. The pistons are weightless. The two liquid levels are the same. The relation between the force F2 and F1 isa) F2 F1 b) F2 4 F1 c) F2 2 F1d) F2 F1/2 e) F2 F1/4(a)
STA3032 Week 3 2.5.10 COMMON CONTINUOUS DISTRIBUTIONS 1 A uniform random variable places equal weight to all values within its support and is continuous. a A uniform random variable has p.d.f. 1 f x = b−a for a≤x≤b 2 Normal a The normal distribution has parameter µ and a scale parameter σ2 b Normal distribution has p.d.f. −1(x−μ) 1 2σ f(x)= e for -∞
