Valid probability density function
Consider the function given below: f(x) = kx4 0 < x < 2.76 What must be the value k so that f(x) is a valid probability density function? Give your answer to four decimal places.
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Use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the two variables. Use a=0.05.
As reported by a source for statistics, the mean serum high density of females 20-29 years old is 53. If serum cholestrol is distributed normally with a standard deviation of 13.4, answer the following questions.
A certain car model has a mean gas mileage of 29 miles per gallon (mpg) with a standard deviation of 5 mpg. A pizza delivery company buys 38 of these cars. What is the probability that the average mileage of the fleet is greater thatn 27.8 mpg?
An accounting firm is auditing the shipping orders for the past year for billing errors. It chooses a random sample of 64 shipping orders. What is the probability that the sample mean weight will be within 2.5 ton of the true population mean of 31
The third forecasting method used was an exponential smoothing method and the MSE of the data set using this method was found to be 329. When comparing the MSE of each method, which forecasting method is the most accurate of the three?
A random sample of size 36 is selected from a population whose mean is 30 and standard deviation is 6. Calculate the probability that the sample mean will lie within 3 units of the true population mean.
Describe the shape, mean, and standard deviation of the sampling distribution of the player's batting average after a season of 500 at-bats
Dartis Company is considering investing in a specialized equipment costing $600,000. The equipment has a useful life of 5 years and a residual value of $60,000. Depreciation is calculated using the straight-line method. The expected net cash inflo
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