P(A) = P (B) = P(AN B)then %3D P[(AN B) U (AN B)] = 1
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Explain the differences between Gaussian elimination and Gauss-Jordan elimination.Altmans z-score Altmans z-score is a financial tool for predicting insolvency in a business. For a certain company, the z-score formula is z=0.84+0.6StockpriceOutstandingsharesTotalliabilty In this exercise, we assume that thre are 45, 000 outstanding shares at a price of 4.80 each. a. Use L, for total liability, in dollard, and give a formula for the z-score for this company. b. Would a larger total liability idicate a better or worese outlook for the company? c. A z-score of 1.81 or lower indicates a high probability of insolvency. What is the smallest value of L that will give a z-score that indicates a high probability on insolvency?
- An investor has decided to commit no more than $80,000 to the purchase of the common stocks of two companies, Company A and Company B. He has also estimated that there is a chance of at most a 1% capital loss on his investment in Company A and a chance of at most a 4% loss on his investment in Company B, and he has decided that these losses should not exceed $2000. On the other hand, he expects to make a(n) 15% profit from his investment in Company A and a(n) 18% profit from his investment in Company B. Determine how much he should invest in the stock of each company (x dollars in Company A and y dollars in Company B) in order to maximize his investment returns. What are the (x,y) values? What is the optimal profit?An investor has decided to commit no more than $80,000 to the purchase of the common stocks of two companies, Company A and Company B. He has also estimated that there is a chance of at most a 1% capital loss on his investment in Company A and a chance of at most a 4% loss on his investment in Company B, and he has decided that these losses should not exceed $2000. On the other hand, he expects to make a(n) 15% profit from his investment in Company A and a(n) 18% profit from his investment in Company B. Determine how much he should invest in the stock of each company (x dollars in Company A and y dollars in Company B) in order to maximize his investment returns.(x, y)= What is the optimal profit?$What is the difference between Gaussian elimination and Gauss-Jordan elimination?
- Individual A has a red die and B has a green die (both fair). If they each roll until they obtain five "doubles" (1-1,...,6-6), what is the pmf of X (= the total number of times a die is rolled)? What are E(X) and V(X)?A retailer sells two types of ski goggles. Thirty percent of the sales is of type A, and the rest is of type B. Six percent of all type A goggles are returned within 10 days after the sale, whereas only three percent of type B are returned. What percentage of goggles are returned within the first 10 days after the sale?Domestic corporation X owns all of the stock of domestic corporation Y, which, in turn, owns all of the stock of foreign corporation Z. Are X and Y “United States Shareholders” of Z? Would X be subject to tax on Z’s subpart F income?
- V1. Suppose Sally has a choice to undertake a risky job for a salary of $69828. She could choose to take a safe job for a salary of $62841. She decided to take the risky job. Assuming Sally has a 1 in 601 chance of dying at the risky job then using the trade-off method, she values her life at:part C D 33000331 UPH-1 St. Lawrence dolomite 618 0.05 2.69 2.74 2.83 48000168 Langer Platteville dolomite 127.8 0.06 2.69 2.75 2.86 52000415 3-21-13z1 Galena dolomite 575 0.04 2.72 2.76 2.83 52000415 3-21-13z1 Platteville dolomite 740 0.05 2.7 2.75 2.85 60000086 VD #1 Silurian dolomite 684 0.03 2.75 2.78 2.83 60000086 VD #1 Galena dolomite 1070 0.05 2.69 2.74 2.84 60000086 VD #1 Platteville dolomite 1142 0.02 2.77 2.79 2.83 13001466 NS-2 Tunnel City sandstone 60.1 0.14 2.41 2.54 2.79 13001466 NS-2 Tunnel City sandstone 60.2 0.28 1.93 2.21 2.67 13001466 NS-2 Tunnel City sandstone 118.3 0.3 1.88 2.18 2.7 33000331 UPH-1 St. Peter sandstone 222 0.22 2.06 2.28 2.65 33000331 UPH-1 Jordan sandstone 531 0.21 2.09 2.3 2.65 33000331 UPH-1 Tunnel City sandstone 644 0.18 2.22 2.4 2.7 33000331 UPH-1 Wonewoc sandstone 735 0.2 2.12 2.32 2.65 33000331 UPH-1 Wonewoc sandstone 840 0.27 1.93 2.2 2.66 33000331 UPH-1 Mt. Simon sandstone 927 0.18 2.31 2.49 2.81…A project requires an initial outlay of $92000 and produces a return of $30000 at the end of year 1, $40000 at the end of year 2, and $42xyz at the end of year 3, where x, y, z are the last three digits of your student code (for example: if a student code is 17071365 then x = 3, y = 6, z = 5 and $42xyz=$42365). a/ Use the trial-and-error method or another appropriate method to determine the internal rate of return IRRof the project (express IRR in percentage, rounded to one decimal place); b/ Find the net present value NPV of the project if the market rate r is equal to the value of IRR as found above, then give a comment.
