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1) Assume the random variable x is normally distributed with mean μ =83 and standard deviation σ=44. Find the indicated probability.P(x<76?)
?(Round to four decimal places as? needed.)
2) The amounts a soft drink machine is designed to dispense for each drink are normally? distributed, with a mean of 11.7 fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected.
?(a) Find the probability that the drink is less than 11.5 fluid ounces.
?(b) Find the probability that the drink is between 11.2 and 11.5fluid ounces.
?(c) Find the probability that the drink is more than 12.1fluid ounces. Round to four decimal places as? needed.)Can this be considered an unusual? event? Explain your reasoning.
Calculate the sum of squared residuals, the total sum of squares, and the coefficient of determination.
An automobile club comes to the aid of stranded motorists who are members. Over the long run, about 5% of the members utilize this service in any 12-month.
Accurate typesetting is crucial to the production of high-quality newspapers. The editor of the Morristown Daily Tribune, a weekly publication with circulation of 27,000, has instituted a process for monitoring the performance of typesetters.
The divisions between the commercial and industrial East, and the frontier and agrarian West, were for most of American history.
Draw the Normal model for tree diameters.- What size would you expect the central 95% of all trees to be?- About what percent of the trees should be less than an inch in diameter?
In the real world, a given null hypothesis is false; but the collected data lead to the null hypothesis being accepted. That is, the data lead to a failure to reject the null hypothesis.
a client gives you a data set of 30 observed values that represent the number of gallons of gas that 30 individual
let x be a random variable that represents the monthly electric bills in a certain city. data shows that x is
Explain the results plot the original data and the fitted regression equations.
1. a professor has written 6 different versions of an online test for security reasons. students are randomly assigned
Assume that the population standard deviation is 10 mmHg, and nd a 95% con dence interval for , the population mean.
Find a data set that maximizes the value of the standard deviation.- Find a data set that minimizes the value of the standard deviation.
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