X is a normal variate with mean 1 and variance 4. Y is another normal varaite independent of X, with mean 2 and variance 3. Find the distribution of X+2Y.
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A: L
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A: State the hypotheses
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A: State the hypotheses.
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A: The mean is 0.92.
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- The salaries of physicians in a certain speciality are approximately normally distributed. 25% of these physicians earn less than $180,000 and 25% earn more than $320,000. Let X be the salary (per thousand) of a randomly chosen physician in this specialty, find the mean and variance of X.Find how to distribute the variance and standard deviation calculations across the nodes. Variance = [(x - average (x)) ^ 2] / N N is the length of the data. Variance = Variance1 + Variance2 + Variance3 ?? Or any other combination .Why n-1 is used in the denominator for the variance for a normally distributed continuous RV?
- NoneA football coach is looking for a way to identify players that are "under weight". The coach decides to get data for each player's height (x, in inches) and weight (y, in pounds), then does a linear regression. The results are: 58+3.7x, r = 0.86 and the standard error is Se = 10.4. Since there is a strong linear correlation the coach, who also majored in Statistics, decides to identify all "outliers" in the data. Obviously, any player whose weight is above the regression line is not "under weight". So the only outliers the coach is interested in are those that are below the regression line. What is the lowest weight possible for a 75 inch player to not be considered "under weight"? Do not round. Submit Question ctor GSearch or type URL & % 24 6 7The standard error of the mean (Qx) is a(n) estimate of population means which make up the sampling distribution. indication of variability in the distribution of sample means indication of variability in the raw data derived from the sample measure of variability in the population
- Two regression lines of a sample are X+6 Y=6 and 3X+2Y=0. Find the correlation coefficient.The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9. An airplane arrived 13 minutes after the stated arrival time. Calculate the Z-score for this particular airplane's lateness.A. 0.33B. 0.58C. 1.33D. 0.44E. 1.00If the variances for independent random variables X and Y is Var(X)=0.94 and Var(Y)=4.22 then Var (2Y-0.5X+1) equals: a. 18.1150 b. 17.1150 c. 8.9700 d. 17.6450
- A company has found that its profits Y are related to its sales X by the formula Y = 0.2X + 100. If next year’s sales have a Normal distribution with a mean of 7,500 and a variance of 160,000. What is the distribution of next year's profit?For a bivariate distribution, the lines of regression are 3X + 12Y = 19; 3Y + 9X= 46 Find the means and correlation coefficient.A candy company produces packets of candy every day. Each packet they produce has a slightly unique weight. The mean of the weights is 74g, and the variance of the weights is 13g. What is the minimum weight of a packet of candy with a z-score of -0.2? (round to the nearest tenth as needed)