a. Determine the expected value of X. b. Determine the expected value of Y. c. Determine the expected value of Z=X+Y.
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- Calculate the mean value (expected value) of the following discrete variable x: x-0, 1, 2, 3, 4, 5, 6 %3D p(x) 3D 0.2, 0.2, , 0.05 0.15,0.15, 0.15, 0.1PLEASE ANSWER: E, F & GIn the transmission of digital information, the probability that a bit has high, moderate, and low distortion is 0.01, 0.04, and 0.95, respectively. Suppose that three bits are transmitted and that the amount of distortion of each bit is assumed to be independent. Let X and Y denote the number of bits with high and moderate distortion out of the three, respectively. Determine: (c) E(X)= i Round your answer to two decimal places (e.g. 98.76).
- 4. An insurance company sells an automobile policy with a deductible of one unit. Let X be the amount of the loss having pmf 0.9 f(x) = x = 0 x = 1,2,3,4,5,6 where c is a constant. a) Find c. b) Find the expected value of the amount the insurance company must pay.Given Probabilities y = 1 y = 2 x = 1 x = 2 0.2 0.3 0.5 Find: а. Pr(X > Y) %3 b. Pr(Y = 1) =Help
- 3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…Given Y it = B 0 + B 1Treated i + B2After t + B3(Treated i*After t) + e it, the expected value of the dependent variable for those who in the control group after the treatment was administered is: A. B0 + B1 + B2 + B3 B. B0 + B2 C. B0 + B1 D. B0 + B1 + B3Let X₁,... Xn be sampled from a uniform distribution with support 0≤x≤0. a. Find the PDF of the second ordered statistic X(2) b. Find the expected value of X(2). You may use wolfram, but you must correctly write down what you are asking Wolfram to calculate for you. c. Find an unbiased estimator of 0, that is a function of X(2).