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Customers experiencing technical difficulty with their internet cable hookup may call an 800 number for technical support. It takes the technician between 30 seconds and 10 minutes to solve the problem. The distribution of this support time follows the uniform distribution.
a. What are the values for a and b in minutes
b. What is the mean time to resolve the problem? What is the standard deviation of the time?
c. What percent of the problems take more than 5 minutes to resolve?
d. Suppose we wish to find the middle 50 percent of the problem solving times. What are the end points of these two times?
Which of the following can be solved by using a system of equations? Laura and Mark went to the movies and spent $29 on movie tickets and snacks. Mark paid $10 more than Laura. How much did each spend?
Suppose the farmer buys insurance for $3000 that pays him $20,000 in the event of a severe storm that destroys much of the crop, and pays nothing otherwise. Find the probability distribution of his profit . Find the mean, and summarize the effect ..
Find the osculating plane of the circular helix r(t) = costi + sintj + tk at the point (0, 1, pi/2)
find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 meter per hour.
Calculate the mean of the distribution of sample means and the population mean.
He collects data on 25 individuals' television viewing habits and finds that the mean number of hours that the 25 people spent watching television was 23.7 hours with a standard deviation of 7.5 hours, can we conclude at the 1% significance level ..
A boat traveled 285.6 miles downstream and back. The trip downstream took 10.2 hours. The trip back took 34 hours. What is the speed of the boat in still water? What is the speed of the current?
Examples of 6-palindromes include {2,5} and the empty set. Show with a combinatorial proof that the number of n-palindromes equals 2^(n/2) for n even, and 2^(n+1/2) for n odd. (Hint: A set of cardinality k has 2k subsets.)
The bearings of two points on the shore from a boat are 115 degrees and 123 degrees. Assume the two points are 855 feet apart. How far is the boat from the nearest point on shore if the shore is straight and runs north-south?
Last season a major league baseball player got 120 hits in 240 times at bat. If the player expects to bat 500 times in the entire season with the same ratio of hits to at bats, how many hits can the player expect to have?
Let S be a subset of a set X. Let R be the ring of real-valued functions on X, and let I be the set of real-valued functions on X whose restriction to S is zero.
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
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