An electronics company is about to launch a new product. If the serial number for each piece produced has the following format: LLNNN where L stands for any letter in the English alphabet and N is a number from 0 to 9, please answer the following: a)What is the name of the counting rule used to find all the possible outcomes? b)How many different items can be uniquely numbered? 2)(5 pts) A company needs to select an expert group of consultants to provide advice for a given project. How many possible selections consisting of 2 project managers, 2 legal advisors, 4 computer scientists and 3 systemsengineers can be selected if the company can pick from 4 project managers, 7 legal advisors, 5 computer scientists and 6 systems engineers? Think carefully about the counting rules involved before attempting to do any calculations. 3)(5 pts) Consider that you are a line manager in your current Corporation. There is a 0.50 probability that you will be promoted this year. There is a 0.65 probability that you will get a promotion or a raise. The probability of getting a promotion and a raise is 0.35. (Use letter P to denote promotion and letter R to denote raise.) a. If you get a promotion, what is the probabilitythat you will also get a raise? b. What is the probability that you will get a raise? c. Are getting a raise and being promoted independent events? Explain using probabilities. d. Are these two events mutually exclusive? Explain using probabilities. Please show all the steps in your calculations Part 2 Two of the cylinders in an eight-cylinder car are defective and need to be replaced. If two cylinders are selected at random, what is the probability that a. both defective cylinders are selected? b. no defective cylinder is selected? c. at least one defective cylinder is selected? You are requested to solve the problem using two different approaches: 1.(9 pts) Solve the problem using your knowledge from the theory of probability (chapter 4 in your e-text). If you wish to use letters in order to label the events: please let “D1” denote the event of the first cylinder selected, to be defective and let “D2” denote the event of the second cylinder selected, to be defective. If you find it helpful you can construct a tree diagram for this problem. 2.(9 pts) Solve the problem using your knowledge on probability distributions (chp 5 &6). It is important to justify your choice of probability distributionto use. You will need to decide whether your random variable is continuous or discrete and also need to identify whether the sampling carried out is with or without replacement. These steps will help you to identify the appropriate probability distribution to use. 3.(2 pts) Finally compare the two solutions. Elaborate on thecomputational complexity of each one of them and the execution time when solving the problem by hand (allowing the use of a basic scientific calculator but not statistical software).

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Part 11) An electronics company is about to launch a new product. If the serial numberfor each piece produced has the following format: LLNNN where L stands for anyletter in the English alphabet…

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mbpf bank on the average receives 20 loan applications per hour. each loan application goes through an initial processing stage, where an “accept” or “reject” decision is made. approximately 54% of the loans are accepted. Accepted loans require additional processing. rejected loans require no additional processing. suppose that on the average 12 loans applications are in the initial processing stage, and 30 accepted loan applications are in an additional processing stage. what is the average processing time required for a rejected loan?

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Please help me with the following questions.Please help me with the following questions.

MC algo 11—3 OCF Sensitivity A 5—year project is expected to generate annual sales of10,000 units at a price of $87 per unit and a variable cost of $58 per unit. The equipment necessary for the projectwill cost $405,000 and will be depreciated on a straight-line basis over the life of the project. Fixed costs are $245,000 per year and the tax rate is 40 percent. How sensitive is the operating cash flow to a $1 change in the per unit sales price?

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Need help with these two questions. I am not sure how to solve them. Please help and provide the answer, thanks.

MC nmr J. How many different signals would you expect to see for in both a proton and also a proton decoupled 13C NMRspectrum of the following molecule? (remember, a proton decoupled carbon nmr means that thethe Spectrum is run in such a way that the signals are not Split, we only use this kind of carbon nmr Spectrumin this claSs) CH CH / H3C CH3 in the proton spectrum and 7 in the 13C Spectrum in the proton spectrum and 5 in the 13C Spectrum in the proton Spectrum and 4 in the 13C Spectrumin the proton Spectrum and 3 in the 13C Spectrum UOUW(993% a Question 8MCnmr5 How many signals would you expect to see in the proton-decoupled carbon nmr spectrum of the following molecule? (remember, a proton decoupled carbon nmr means that the the Spectrum iS run in such a way that the signals are not split, we only use this kind of carbon nmr spectrumin this class) 6 signals7 signals8 signals9 signals GONE”

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