1.Camer Pharmaceuticals is testing a new product in the market1. The demand for the new product is estimated to be Normally distributed with a mean 2,000,000 and standard deviation 250,000. The demand is estimated to grow at a rate of 4% per year. The R&D costs are estimated to be between $500 millions of dollars and $800 millions of dollars with a most likely value of $700 millions of dollars. Clinical trial costs are estimated to be between $135 millions of dollars and $160 millions of dollars with a most likely value of $150 millions of dollars. There are competitors in the market, and Camer Pharmaceuticals estimates that their market share in the first year will be any number between 6% and 10%, with each number being equally likely. The company estimates that their market share will grow by 20% each year. A monthly prescription is estimated to generate a revenue of $240. The variable costs are estimated to be $30. Develop a simulation model that calculates the net present value (NPV) of this project over 3 years assuming a discount rate of 10%. Run the simulation for 1000 iterations and answer the following questions.

a.What is the distribution of the NPV (mean and standard deviation)?

b.What are the first quartile, median, and third quartile of NPV?

c.What is the probability that NPV over 3 years will not be positive?

d.What NPV are we likely to observe with a probability of at least 0.9?

e.What cumulative net profit in the third year are we likely to observe with a probability of at least 0.9?

f.What is the 95% confidence interval for the mean NPV? Interpret the resulting confidence interval.

g.What is the number of iterations needed if we want to estimate the NPV within $4,000,000?

h.Interpret the sensitivity chart.

Q10 (coding): Do 500 computer experiments. In each experiment, generate n = 100 samples of X independently fr0m an experiential distributiOn with rate parameter being 2. Record the mean of each experiment (denoted as 3;, for 1 g i S 500). a) Plot a histogram of fig. Based on the central limit theorem1 What distribution does X]; follow? b) Compute and show the sample mean and sample variance of K1509 2 (X1, ...., X593). c) Repeat a) and b) based on n = 10000 samples of X independently from an exponential distribution with rate parameter being 2. Compare the result to the one based on n = 100 samples. A sociologist wants to learn about Utahns' opinions about the Public Affairs Act. In order to make sure he is measuring the opinions of all groups, he determines what portion of the population is urban, rural, and suburban, and takes a sample of each, of sizes proportional that the demographic breakdown of the whole population. What kind of study design is this? A. Simple random sample B. Stratified random sample C. Voluntary response sample D. Matched pairs experiment E. Double-blind experiment F. Controlled experimentMolarity of your standardized KMnO, solution : 0.0200 M Experiment Number #1 #2 #3 #4 Mass of sample (9) 0.142 0.136 0.155 0.140 Volume of KMnO , required (ml) : 14.70 16.80 12.10 13.40 Volume of blank titration (ml) : 0.0500 0.0500 0.0500 0.0500 1) Balance the equation below for the reaction between MnO," and C20,-. 2) Calculate the corrected volumes for each experiment for KMno: 3)Calculate the moles for each experiment of KMnO, added : 4) Calculate the moles in each experiment of CO," in the sample : 5) Calculate the mass in each experiment of CO," in the sample : 6) Calculate the percent in each experiment of CO- in the sample : 7) Now, using the statistical treatment of data, calculate the percent of CO," in your sample