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A function g(x) is convex if the chord connecting any two points on the function's graph lies above the graph. When g(x) is differentiable, an equivalent condition is that for every x, the tangent line at x lies entirely on or below the graph. (See the figure below.) How does g(m) = g(E(X)) compare to E(g(X))?
Find the optimal solution to the linear program per relaxation (in other words, assume all variables can take on any numerical value). Report the values of each variable and the optimal objective value.
for a normal distribution curve with a mean of 17 and a standard deviation of 5 which range of the variable defines an
The mean SAT verbal score is 412, with a standard deviation of 90. Use the Empirical Rule to determine what percent of the scores lie between 412 and 592. (Assume the data set has a bell-shaped distribution.)
Let X be the number of individuals in a simple random sample of size 50 from this population who get some relief by taking ibuprofen, and let pˆ be the sample proportion. Find the probability that the value of p is in the interval
suppose that you used a 9-point rating scale and that you wanted to compare men who had an annual income over 50000
What is the maximum likelihood estimator of μ1 - μ2? Construct a 99% con?dence interval for μ1 - μ2.
a set of blocks painted three colors is on a table in front of you some in bag 1 and some in bag 2. the colors are blue
List all corner points and determine which combination of items will produce the maximum profit.
At a = 0.05, is there a significant difference in the proportions? Find the 95% confidence interval for the differenc of the two proportions.
assume that the heights of women are normally distributed with mean of 63.6 inches and a standard deviation of 2.5
write a linear programming model fo the following linear programming problem. do not solve simply set up.the new age
Suppose you found that in doing the hypothesis test, you were able to reject the null hypothesis. What is the most appropriate conclusion to draw?
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