What is the standard deviation of a random variable q with the following probability distribution? (Do not round intermediate calculations. Enter your answer in numbers not in percentage. Round your answer to 4 decimal places.) Value of q 0 1 2 Probability 0.30 0.22 0.48 Standard deviation
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- Given the following probability distribution, what is the standard deviation of returns for Security J? (Expresss your answer in percentage, but do not include the percent sign, %, i.e., 4.65) State Pi rJ 1 0.2 6 % 2 0.6 11 3 0.2 17Consider the following data for a dependent variable y and two independent variables, x1 and 12. 30 12 94 47 10 109 25 18 112 51 16 178 40 94 51 19 175 75 171 36 12 118 59 13 143 77 17 212 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating Y to ¤1. Predict y if æ1 = 35. b. Develop an estimated regression equation relating y to x2. ŷ = + Predict y if x2 = 25. ŷ = c. Develop an estimated regression equation relating y to ¤1 and 2. Predict y if x1 = 35 and x2 = 25. ŷ =The standard deviation of a standard normal distribution _____. a. can be any value b. is always equal to 1 c. is always equal to 0 d. can be any positive value
- q12- In the distribution of a variable, if the mean is much smaller than the median, the data distribution is: a. Uniform b. Right-skewed c. Left-skewed d. NormalRead the z statistic from the normal distribution table and choose the correct answer. For a one-tailed test (lower tail) using a = .0901, z = O -1,96 O -1.86 O -1,34 O -1.645 O o o o(2 points) Suppose that we are to conduct the following hypothesis test: Ho p H₁ == 1050 1050 στ == Suppose that you also know that σ = 250, n = 95, 1090, and take a = 0.1. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-00, a) is expressed (-infty, a), an answer of the form (b, x) is expressed (b, infty), and an answer of the form (-00, a) U (b, c) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is D. Your decision for the hypothesis test: A. Do Not Reject H₁. B. Do Not Reject Ho- C. Reject Ho D. Reject H₁.
- If Durbin Watson test statistic = 2.11. What do you conclude?Ch. 11. If two returns are positively related to each other, they will have a ________, and if they are negatively related to each other, the ______________. Group of answer choices positive covariance, covariance will be negative negative covariance, covariance will be zero positive covariance, standard deviation will be negative negative covariance, covariance will be positiveWhat would be the expected value, variance and standard deviation of an event that always took the value one as its outcome? O 1, 0,0 О 1, 1,0 O 1, 0, 1 О 1, 1, 1
- Can you explain, when calculating the mean why the probability is included in the calculation? eg when you're using excel: (0.2*7) + (0.1*7) + (0.3*7) + (0.3*7) + (0.1*7) = 7%Suppose we have the following values for variables X and Y: XY 06 1 3 20 What is the value for the sample correlation coefficient (or r)? -0.9520 1If two returns are positively related to each other, they will have a ________, and if they are negatively related to each other, the ______________. Group of answer choices positive covariance, covariance will be negative positive covariance, standard deviation will be negative negative covariance, covariance will be zero negative covariance, covariance will be positive This type of risk affects a large number of assets, each to a greater or lesser degree. Group of answer choices systematic risk unsystematic risk idiosynchratic risk principle of diversification True/False. The Dividend Discount Model can be applied to firms that do not pay dividends. Group of answer choices True False