Suppose X and Y are two dependent random variables. Let Z (3X - 2Y + 4) with the following set of information provided: E(X2) = 25 E(X) = 3 E(Y2) = 28 E(Y) = 4 E(XY)=20 What is var(Z)? O a. 172 O b. 96 O C. 22 O d. 28
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![Suppose X and Y are two dependent random variables. Let Z = (3X - 2Y + 4) with the following set of information provided:
E(X2)= 25 EX) = 3 E(Y2)= 28 E(Y)=4 E(XY) = 20
What is var(Z)?
O a. 172
O b. 96
OC. 22
O d. 28](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39f8244f-65b7-427b-b720-d8da19187885%2F6f386395-bc8b-47b9-b166-55368721892f%2F3w3t_processed.jpeg&w=3840&q=75)
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- 201921. The amount of bread (in hundreds of pounds) x that a certain bakery is able to sell in a day is found to be a numerical valued random phenomenon, with a probabiliiy function specified by the p.d.f. f(x), given by : k. x ={k. (10 – x), for 5Use the following information to answer the next two questions: A service station has a pump that distributes diesel fuel to automobiles. The station owner estimates that only about 4.8 cars use the diesel pump every 2 hours. What is the probability that 5 cars will arrive to use this pump during a two-hour period? O 65.1% O 32.24% O 13.5% O 22.26% O 17.5% QUESTION 32 What is the probability that one or no cars will arrive to use the diesel pump during a half-hour period? O 4.77% O 49.3% O 66.26% O 30.12% O 36.14%2. Consider the following information about random variables X, Y, A, and B: Hx = 30 Ox = 10 Hy = 40 Oy = 20 A = 0.6X + 0.4Y B = 0.8X – 0.2Y Suppose that pxy = 0.5. What is og? Round your final answer to four decimal places if necessary.Strictly Note ->( Provide solution for the last two parts [d and e]) Don't use ai and answer properly with proper solution and explanantion of for steps. please help me out Asap5Suppose a bakery has 20 employees to be designed as bread bakers (B) and cake bakers (C), so that B+C=20.5. Suppose that the government must undertake an irreversible policy decision regarding the extent of air pollution regulation. The government is making this decision in a situation of uncertainty. however. In particular, there is some probability p that the benefits will remain the same as they are this year for all future years, but there is some probability 1-p that benefits will be less in all future years. If we take into consideration the multiperiod aspects, should we err on the side of overregulation or underregulation, compared to what we would do in a single-period choice?Suppose the market for auto insurance is made of up two types of buyers: high-risk and low-risk. Buyers’ willingness to pay (WTP) for auto insurance plans, and sellers’ willingness to accept (WTA) when selling plans to each type of buyer, are outlined in a photo Assume now that there is asymmetric information and that insurance companies do not knowhow risky an individual buyer is. In the face of this uncertainty, they determine that the probability that a “walk-in” is high-risk is 0.75. What is the minimum price sellers are willing to accept when selling aninsurance plan? At this price, will low- and high-risk buyers both be willing to purchase this insurance plan? Explain. Be sure the mention adverse selection in your answer. Returning to the conditions outlined in Q1, suppose that buyers of auto insurance (high- and low-risk) were offered a $1,000 subsidy to purchase coverage. This would raise their WTP by $1,000. Would the market for both insurance plans clear after the…INV 1 5aiv Suppose that you have the following utility function: U=E(r) – ½ Aσ2 and A=3 Suppose that you have $10 million to invest for one year and you want to invest that money into ETFs tracking the S&P 500 (US) and S&P/TSX 60 (Canada) index, which are often used as proxies for the US and Canadian stock markets, respectively, and the Canadian one-year T-bill. Assume that the interest rate of the one-year T-bill is 0.35% per annum. You have found two ETFs that you are interested in. From a set of their historical data between 2001 and 2019, you have estimated the annual expected returns, standard deviations, and covariance as follows: ETFUS : E(r)= 0.070584 standard deviation = 0.173687 ETFCDA : E(r)= 0.073763 standard deviation = 0.16816 Covariance between ETFUS and ETFCDA = 0.02397 What is the standard deviation for ETFCDA?When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 30 or to bet $10 that the outcome is any one of the three possibilities 00, 0, or 1. 3 The gambler knows that the expected value of the $10 bet for a single number is - 53¢. For the $10 bet that the outcome is 00, 0, or 1, there is a probability of 38 of making a net profit of $30 and a probability of losing $10. 35 38 a. Find the expected value for the $10 bet that the outcome is 00, 0, or 1. b. Which bet is better: a $10 bet on the number 30 or a $10 bet that the outcome is any one of the numbers 00, 0, or 1? Why? a. The expected value is $. (Round to the nearest cent as needed.) b. Since the expected value of the bet on the number 30 is C than the expected value for the bet that the outcome is 00, 0, or 1, the bet on is better.SEE MORE QUESTIONS