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Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing.
- f(x) = x^3 - 3x^2 - 2x + 1- f(x) = e^x- f(x) = 3x - 2- f(x) = log x- f(x) = x^2 - 5x + 6
A small company that manufactures computers computer received 10 shipments of the chips in lots of 20 chips from the manufacturer. what is the probability that there will be 2 shipments with at least one defective chip?
A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?
Critically discuss the auto-covariance function of a stationary time series and its basic properties.
In as sample of 855 bartenders, 48% report hearing complaints from patrons about their jobs. If the maximum error of estimate for the proportion of bartenders hearing job complaints is 4.4 percentage points, what is the degree of confidence used?
Create a scatter plot for the data. Determine the correlation coefficient for the data.
How many boxes must the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?
A pie company claims that the number of pies it sells daily is 1600. The President of the company wants to test the accuracy of this claim. He finds a random sample of 36 days' sales shows that the average daily sales were 1500 pies.
A jar contains 12 marbles, 5 of which are blue and 7 of which are red. If 4 marbles are chosen at random and without replacement, what is the probability of selecting 3 blue ones and 1 red one?
Use these statistics to construct a 94% confidence interval for the mean monthly consumption for the population of all Ontario households.
For the following hypothesis test where H 0 : m £10 vs. H a : m >10, we reject H 0 at level of significance a and conclude that the true mean is greater than 10 when the true mean is really 8.
a. Solve using the p value approch. b. Solve using the classical approch.
For machine gun ammunition to be acceptable, the US Army requires that 96 percent of rounds fired hit a specified target. The test is to fire a 50 round burst at the target and observe whether this condition is met.
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