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could anyone help me those questions?Question 7 Not yet answered Points out of 1 P Flag question You are offered the following gamble: Flip two fair coins. If at least one head comes up, you win $12. If not, you lose $24. What is the expected value of this gamble? Select one: a. $3 c. $0 Question 8 Not yet answered Points out of 1 Suppose X is a random variable. How are the variance and standard deviation of X relate Select one: d? Flag question a. The variance of X is the square root of the standard deviation of X O b. The standard deviation o Xis the square root of the variance of X c. The variance of Xis the absolute value of the standard deviation of X d. The standard deviation of Xis the absolute value of the variance of XQuestion 9 Not yet answered B1 200, B2 800, and P3 10, at what age would you earn the highest wage? Points out o 1 (Hint: Find the value of Age when dAge Suppose that wage is a function of age: Wage-A + β2Age-β3Agelf dwage0 Flag question Select one: O a. 20 Ob. 40 c. 60 d. 780 Question 10 Not yet answeredwhere the population standard deviation is known. What is the upper bound of the Points out of 1 P Flag question A test resulted in a sample mean of3.7 and a standard error of 95% confidence interval for a two-sided test of the population mean (the critical value is 1.96)? Select one: a. 1.98 b. 3.9 c. 7.62 d. 8.45Question 11 Not yet answered Points out of 1 X -2.064- s.e.t.X+ 2.064* s.e.* P Flag question Suppose are studying the distribution of a random variable X. From a sample of 25 observations, you calculate the following 95 percent confidence interval If the sample mean, X, is 3 and the standard error of the sample mean, s.e.g, is 2, which of the following null hypotheses could be REJECTED? Select one: a. Ho:0 c, Ho: μ = 10

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