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In a certain very large city, the Department of Transportation (D.O.T.) has organized a complex system of bus transportation. In an advertising campaign, citizens are encouraged to use the new "GO-D.O.T!" system and head for the nearest bus stop to be transported to and from the central city. Suppose that at one of the bus stops the amount of time (in minutes) that a commuter must wait for a bus is a uniformly distributed random variable, T. The values of T run from 5 minutes to 35 minutes.
a: Sketch the probability distribution of T.
b: What is the probability that a random commuter will spend more than 12 minutes waiting for GO-D.O.T?
Assume that the histogram for Math SAT scores is symmetric and concentrated about 450. Estimate the percent of students who score higher than 650 of the Math SAT.
testing for equality of variances.independent random samples were taken from normal distributions of the yearly
A campus organization will select one day of the week for an end of year picnic. Assume that the weekdays, Monday through Friday, are equally likely and that each weekend day
You have administered a standardized test of manual dexterity to two groups of 10 semi skilled workers. One of these two groups of workers will be employed by you to work in a warehouse with many fragile items.
The diameters of peaches in a certain orchard are normally distributed with a mean of 5.10 inches and a standard deviation of 0.40 inches.
Five hundred draws are made at random with replacement from a box of numbered tickets; 276 are positive. someone tells you that 50% of the tickets in the box show positive numbers.
The shelf and purchases it, and he later discovers that the lamp he purchased is defective. What is the probability that the defect came with the first shipment?
there are two urns a and b. urn a contains 2 red balls and 1 blue ball urn b contains 1 red ball and 1 blue ball. an
The following table shows the hardness (in Brinell hardness numbers) and the tensile strength (in thousands of pounds per square inch) of ten specimens of a certain alloy.
The weight of a .5 cubic yard bag of landscape mulch in uniformly distributed over the interval from 38.5 to 41.5 pounds. Give a mathematical expression for the probability density function.
A manufacturer of microwaves gathers information on microwave sales from a random sample of 50 stores in a large retail chain. In the sample, the mean number of microwaves sold per store last week was 19, with standard deviation 2.
I did a study correlating net profit per location with expenditures on an in-house promotion, and got a correlation of about .15, and that was received very well.
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