Prove that P(A'n B') = 1+ P(An B) – P(A) – P(B).
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.How will you choose between following non-nested competing models:- Md=Beta lag (0)+ beta lag(1) Y+ V and Md= alpha lag(0) + alpha lag(1) i+ UYou conduct a hypothesis test and find that your data are statistically significant at alpha = 0.03. What may you conclude? A. The data would also be significant at alpha = 0.02. B. The data would also be significant at alpha = 0.05. C. Both A and B are true. D. Neither A nor B is true.
- What would be my research hypothesis for this scenario?QUESTION 5 The decision rule for a Wilcoxon signed-rank test is always to reject H0 if W is greater than or equal to the critical value. True FalseYou are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $1.75 a share at the end of the year (D1 = $1.75) and has a beta of 0.9. The risk-free rate is 5.4%, and the market risk premium is 6%. Justus currently sells for $21.00 a share, and its dividend is expected to grow at some constant rate, g. Assuming the market is in equilibrium, what does the market believe will be the stock price at the end of 3 years? (That is, what is ?) Do not round intermediate calculations. Round your answer to the nearest cent.
- Suppose Xn is an IID Gaussian process, withµX[n]=1, and σ2 X[n]=1Now, another stochastic process Yn = Xn − Xn−1. Please find:(a) The mean µY (n).(b) The variance σ2Y (n).(c) The auto-correlation RY (n, k)Suppose that in a certain chemical process the reaction time (in hours) is related to the temperature (°F) in the chamber in which the reaction takes place, according to the simple linear regression model where β0 = 5.23, β1 = -0.01, and σ = 0.09. If the temperature is 260°F, what is the probability that the reaction time is between 2.51 and 2.7 hours? Suppose five observations are made independently on reaction time, each one for a temperature of 260°F. What is the probability that all five times are between 2.51 and 2.7 hours? If two independently observed reaction times for temperatures are 1° apart, what is the probability that the time at the higher temperature exceeds the time at the lower temperature?Suppose your dependent variable is aggregate household demand for electricity for various cities. To correct for heteroskedasticity you should Select one: a. multiply observations by the square root of the city size b. multiply observations by the city size c. divide observations by the city size d. divide observations by the square root of the city size e. none of these
- QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesissee pictures (question 1-3) 1) 2 answer and choose one (right-tailed, left-tailed, two-tailed) 2) critical value 3) t=The two-tank system of Problem 19 in Section 7.1 leads to the initial value problem x′=(−110340110−15)x,x(0)=(−17−21),x′=−110340110−15x,x0=−17−21, where x1 and x2 are the deviations of the salt levels Q1 and Q2 from their respective equilibria.Plot x1 versus t and x2 versus t on the same set of axes.