Chapter 2, Problem 23QAP

Question 1 Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule. Question 2 Construct a frequency polygon density estimate for the sample in Question 1, using bin width determined by Sturges’ Rule.

Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule.

Consider the feedback controlled blending system shown below, which is designed to keep theoutlet concentration constant despite potential variations in the stream 1 composition. The density of all streamsis 920 kg/m3. At the nominal steady state, the flow rates of streams 1 and 2 are 950 and 425 kg/min,respectively, the liquid level in the tank is 1.3 m, the incoming mass fractions are x1 = 0.27, x2 = 0.54. Noticethe overflow line, indicating that the liquid level remains constant (i.e. any change in total inlet flow ratetranslates immediately to the same change in the outlet flow rate). You may assume the stream 1 flowrate andthe stream 2 composition are both constant. Use minutes as the time unit throughout this problem.   Identify any controlled variable(s) (CVs), manipulated variable(s) (MVs),and disturbance variable(s) (DVs) in this problem. For each, explain how you know that’show it is classified.CVs: ___________, MVs: _____________, DVs: ______________ b)  Draw a block diagram…