Exercise 1.B.
Given the (constant) angular velocity of the crank 3,
evaluate the angular velocity and the angular
acceleration of the cylinder 2.
Given the load Q evaluate the actuating force P
(exerted by the linear actuator 2 to the slider 4) for
which the mechanism is statically balanced. Evaluate
also the internal reactions R, neglecting friction and
weights.
please see attached.
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Exercise 1. Fix n 2 1. Let X ~ Unif[0, 1] and let Y ~ Binomial(n,X). Find theexpectation and the variance of Y. Do you recognize the distribution of Y? (Answer:it turns out that Y is the discrete uniform distribution on {0, l, . . .,n}. Try to find anintuitive explanation for this.) Exercise 2. Let N be a random variable taking nonnegative integer values, and letX1, . . . , XN be independent identically distributed (i.i.d.) random variables. Let Y =X1 + + XN, and let ]E[X] denote the common expectation of the X;. Give analternative proof ofEM = ElNllElX]using the formulaMy“) = MNUOE MXGD- Exercise 3. Let X,: ~ Geom(q) be iid, and let N ~ Geom(p). Show that the MGF ofY = 2111 X. is _ pqe‘ My“) _ 1- (1 -pq)e" What distribution is this? Exercise 4 (Fun exercise, suggested by Clark Lyons). A fair fi-sided die is rolled untila 6 appears. Find the expected number of rolls, conditioned on the event that onlyeven numbers are rolled. Hint: The answer is not 3. An important observation is that the information “onlyeven numbers are rolled” makes it likely that there were very few rolls. So we shouldexpect that the expected number of rolls conditioned on the event is strictly less than 3.
Exercise 1) Evaluation of Inventory:A company has collected the following data from the purchase and use of heating fuel from its Business Statistics department for inventory management of the previous year:Purchase Price (EUR/liter)0,800,750,810,900,76Amount used/consumed (liters)700023000900011000a) Calculate the cost/use of material sold for the material(energy):Based on the following evaluation methods:- FIFO- HIFO- LIFO- average priceb) Book the transaction for the consumption of the fuel at the 31.12.2006 (1.1.-31.12.2006) correctly by using the FIFO-method and indicate the effect on the profit! (All the purchases of the fuel have been recorded yet!)
Exercise 1
Due in Week 1 and worth 75 points
Jack Winters owns a small business, offering construction services for Disney. To save money on his bids, he subcontracts all of the painting out to another company called Painters Inc. While balancing QuickBooks from the actual “job invoices” and receipts, Jack notices a discrepancy. Painters Inc. was issued a check for $14,125, but the job invoice shows that the job was finished for $12,125. Jack contacts Painters Inc, who provides proof that they received payment for $12,125. Besides Jack, only one person had access to the accounting software. You have been called to investigate.
Write a one-page report detailing the steps Jack needs to take to gather all of the appropriate evidence and protect his company.
Can you please assist and explain step by step the answers??
Exercise 1:Companies often need to use Downsizing (laying off employees), in an attempt toreduce costs. The following table shows the number of layoffs in a sample ofemployees of three different sectors of employment, together with the workexperience of the employees that got fired.Sector of employmentWork experienceACLess than 6 months13 30156 months to 5 years15 111 10More than 5 years104Test if the sector of employment is generally independent of work experience ofemployees that are laid off. Use a 5% level of significance.Exercise 2:In a recent survey a sample of 230 consumers were asked regarding their new mobileservices offered by their company to examine how satisfied they were. The data werepresented in the following table:GenderSatisfaction from new mobile serviceMale FemaleHigh7590Low3035Test if there is generally a relation between gender and level of satisfaction from the newmobile services. Use a 5% level of significance.
Exercise 1-3, answer (4th edition) by Granof and Wardlow1. Employees earned $128,000 in salaries and wages for the last five days in December 2007. They were paid onJanuary 8, 2008.2. A consulting actuary calculated that per an accepted actuarial cost method, the city should contribute $225,000 to its firefighters’ pension fund for benefits earned in 2007. However, the city contributed only$170,000, the amount budgeted at the start of the year.3. The city acquired three police cars for $35,000 cash each. The vehicles are expected to last for three years.4. On December 1, 2007, the city invested $99,000 in short-term commercial paper (promissory notes). The notes matured on January 1, 2008. The city received $100,000. The $1,000 difference between the two amounts represents the city’s return (interest) on the investment.5. On January 2, 2007, the city acquired a new $10 million office building, financing it with twenty-five-year serial bonds. The bonds are to be repaid evenly over the period they are outstanding—that is, $400,000 per year. The useful life of the building is twenty-five years.6. On January 3, 2007, the city acquired another $10 million office building, financing this facility with twenty five- year term bonds. These bonds will be repaid entirely when they mature on January 1, 2032. The useful life of this building is also twenty-five years.7. City restaurants are required to pay a $1,200 annual license fee, the proceeds of which the city uses to fund its restaurant inspection program. The license covers the period July 1 through June 30. In 2007 the city collected $120,000 in fees for the license period beginning July 1, 2007.8. The city borrowed $300,000 in November 2007 to cover a temporary shortage of cash. It expects to repay the loan in February 2008.”
Exercise 1 – Troubleshooting EIGRP
The configurations that have been applied to the devices within this lab have a number of incorrect settings and are causing numerous problems.
This exercise rolls up all your troubleshooting and configuration skills learnt within the modules of this course. You will need to use all of these skills to correct the configurations on each of the devices such that you resolve the symptoms that have been noted in the symptoms list below.
Pay close attention to the diagram shown below, this diagram will give you all the information you need to fix the issues. As with any real world scenario, if there is something you don’t understand, you may need to refer to your favourite search engine to gain some additional understanding on a particular technology.
Symptoms
The following symptoms have been observed. Use your skills and the information in the diagram below to resolve them.
Intermittent ping results on PLABCSCO01 while pinging 172.16.16.1:
Exercise 1 – Choice under uncertainty [18 points]Let us assume that your utility function is given by U = √I . You have been offered two wage offers.• In the first one you will receive a fixed salary of $54,000.a) Find the expected value of the lottery induced by accepting the second wage offer.b) Find the expected utility associated with the second offer.c) Draw an approximate figure where the following elements are clearly illustrated:• Utility function (either concave, linear or convex)• Utility level (in the vertical axis) from the first wage offer.• Utility level (in the vertical axis) from each of the two possible outcomes of the second wage offer.• Expected utility level from the second wage offer.d) Using your answers from parts (a) and (b), find the risk premium associated with the second offer.e) What amount of money should the first wage offer propose you in order to make you exactly indifferent between accepting the first and the second wage offers?f) In your figure from part (c) include the risk premium of the second wage offer.
Exercise 1 – Choice under uncertainty [18 points]Let us assume that your utility function is given by U = √I . You have been offered two wageoffers.• In the first one you will receive a…
Exercise 1
On January 1st, the company Pesqueros Anónimos, S.A. Issues bonds for $ 500,000, at a rate of 5%, to 60 months, which pays a quarterly interest of $ 6,250; And receives cash for $ 476,000.
It is requested to register the issuance of these obligations
Exercise 2
On May 1, 2015, the distributor of Juguetes, Ltd. purchases bonds at a rate of 6%, at 5 years, on the issue date, directly from Fábrica de Plásticos, S.A. As an investment that will remain until its expiration. Obligations pay semi-annual interest and were purchased at a discount as follows:
Nominal value of obligations $ 100,000
Less discount on obligations (8,000)
Bond purchase price $ 92,000
It asks to register the purchase of the investment, the interest that is received, and the amortization of the discount
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Exercise 1 . Let *1, X2 . … and /1, 12 . … be sequences of random variables such that* * * and > > >’ both in probability . Prove * * * * Y in probability ."Exercise 2 ( Normal numbers , or a monkey at a typewriter ) . Define a number a E ( 0 , 1]to be simply normal in base 10 if for every digit KE ( 0 , 1 , 2 . …. If we have*lim .# digits equal to k amongst first ~ digits*112 -1 0 010’Use the Strong Law of Large Numbers to show that a real number chosen uniformly in10 , 1 ] will almost surely be simply normal in base 10 .*Define a number a { O , I) to be simply normal if it is simply normal in every base*be ( 2 , 3 , 4 , … J. Show that a real number chosen uniformly inO , I will almost surely*be simply normal .Connect the above ideas to the" monkey at a typewriter paradox " : with probability*I , a monkey typing at a typewriter will type out the script of your favorite Shakespeare*play , with the right frequency .*Exercise 3 ( Probabilities of events as frequencies of occurrence ) . Use the Strong Lawor the Weak Law to interpret the probability of an event A as the frequency with whichit occurs in an infinitely long sequence of independent trials .Exercise 1 . Suppose that *1, X2 . … are i. id. , YI, Y2 . … are i. id., and that Yit … + Y `is always nonzero ( or almost surely nonzero ) . Assume that all random variables have*finite variance ( and hence finite mean too ) . Prove thatXIt … + X x[[X]LIA ,Vit … + Y ~`almost surely .Exercise 5 . Suppose that *1 * *2 . … are i. id ., and that all random variables are*positive ( or positive almost surely ) . Prove that*( * 1 … In ) } / { } @ Ellos (* )almost surely*.Exercise 6 ( A version of Benford’s law ) . Let dec ( * ) and sig ( * ) denote the decimalpart and significant digit of a positive real number * . For example if * = 689. 737 , thendec (*) = 0. 737 and sig ( * ) = 6 .
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