Question Suppose that the random variables X and Y have the following joint probability density function. f(x,y) = ce-4x – 2y, 0 <y<x. (a) Find P(X<2,Y<1 10 (b) Find the marginal probability distribution of X.

U.2 pts Reconsider the partial & part correlations for this scenario: Coefficients Standardized Unstandardized Coeficients Coeficients 95.0% Confidence interval for Model Correlations B Sid. LITOR Beta 1 Sig Lower Bound Upper Bound (Constant Zero order Partial Part - 059 2215 -027 979 -4.456 Age 4379 110 077 075 1433 155 -042 262 703 146 052 Gender -2.494 1.098 es -2271 025 4675 . 313 102 .220 -083 Stress score 411 068 432 6.059 000 276 809 530 221 AnityScore 485 074 471 6.571 000 339 632 097 561 230 a. Dependent Variable: Depressionscore Which of the following options provides the best interpretation of the part correlation for Stress Score? 545 When all the other predictors (age, gender and anxiety score) are statistically controlled, there is a very weak, positive, linear relationship between Stress Score and depression score ('pore - 221) When all the other predictors (age, gender and anxiety score) are statistically controlled, there is a moderate, positive, linear relationship between Stress Score and depression score Ispart221) Stress Score explains an additional 4,9% ('part? - 2212 - 049) of the variation in depression score, over and above that explained by the other predictors Stress Score explains an additional 22.1% upart - 221) of the variation in depression score, over and above that explained by the other predictors

C. Which of the following organisms are most closely related? Are any two the same species? On what did you base your answer? 2.0 A B D C Rod Rod Coccus Rod + + Fermentative Oxidative Fermentative Fermentative Characteristics Morphology Gram Reaction Glucose utilization Cytochrome oxidase GC moles % Present Present Absent Absent 48-52 23-40 50-54 49-53

For this week's discussion, you are asked to generate a continuous and differentiable function f (2) with the following properties: • f(x) is decreasing at x = -6 • f(x) has a local minimum at x = -3 • f (x) has a local maximum at x = 3 Hints: • Use calculus! • Before specifying a function f (2), first determine requirements for its derivative f' (2). For example, one of the requirements is that f' (-3) = 0. • If you want to find a function g(x) such that g(-9) = 0 and g(8) = 0, then you could try g(x) = (x + 9) (x – 8). • If you have a possible function for f' (2), then use the techniques in Indefinite Integrals this Module to try a possible f (x). You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label "f(2) =" is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the x-axis go from -6 to 6. f(x) = How Did I Do? Try Another

. Explain which types of market inefficiencies derive from monopolies. Use examples from the textbook to support your claims. • Describe the types of inefficiencies that derive from monopolistic competition. Use examples from the textbook to support your claims. How are monopolies and monopolistic competitive firms profitable? Use examples from the textbook . Explain which types of market inefficiencies derive from monopolies. Use examples from the textbook to support your claims. • Describe the types of inefficiencies that derive from monopolistic competition. Use examples from the textbook to support your claims. How are monopolies and monopolistic competitive firms profitable? Use examples from the textbook to support your analysis.

CLEARLY PLEASE Toluene is produced by hydroforming conversion of n-heptane in a Cr203@-A1203 catalyst medium. The operating conditions of the process are given on the flow chart. The solvent used in the process is recovered. CH3CH2CH2CH2CH2CH2CH2 - CH3CH3 + 4H2 Toluene production efficiency is 15% based on n-heptane fed into the process. The solvent ratio used in the extractor is 10 kg solvent / 1 kg toluene. According to this, a. Calculate how much heat must be added or removed to keep the reactor isothermal at 425 °C. b. What is the temperature of the n-heptane or solvent stream leaving the extractor. (The temperatures of the n- heptane and solvent streams can be considered the same.) но | 425 °C Cooler n-Heptane Superheater 425 °C 18°C 18 °C Catalytic Reactor HO Saturated Toluene vapour n-Heptane . 38c Solvent Heat Heat Extractor Still Exchanger Separator 18 °C 120 °C Solvent Solvent+Toluene

Chapter 4: Project Management (CPM & PERT TECHNIQUES) QUESTION 1 A network consists of the following list. Times are given in weeks. Preceding Activity A B C D E F G H I J K Duration 9 2 12 5 6 A A A B B CF ဝ ထt D H GI E, ] 3 2 8 6 2 a. Draw the network diagram. b. Which activities form the critical path? c. What is the duration of the project completion? QUESTION 2 A PERT problem is detailed in the table below. Times are given in weeks. Preceding Activity A B с D E F G H I J K A A A B B CF D H GI E,J Optimistic Time 7 2 8 3 4 6 2 2 6 4 2 Probable Time/ Most likely time 9 2 12 5 6 8 3 2 8 6 2 Pessimistic Time 14 8 16 10 8 10 4 8 16 14 5 a. Calculate the expected time and ES, EF, LF, and LS of each activity. b. Draw diagram network for this project. c. What are the project variance and the project standard deviation? d. What is the estimated completion time? e. What is the probability of completion of the project after week 40?