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Question: A sieve is made of a square mesh of wires. Each wire has diameter d, and the holes in the mesh are squares whose side length is w. A spherical particle of radius r is dropped on the mesh. What is the probability that it passes through? What is the probability that it fails to pass through if it is dropped n times? (Calculations such as these are relevant to the theory of sieving for analyzing the size distribution of particulate matter.)
Several studies have proposed an extravehicular robot that could move around in a NASA space station and perform physical tasks at various worksites [9]. The arm is controlled by a unity feedback control with loop transfer function
What is the test-retest method of estimating reliability? Describe the type of study that would be needed to find evidence of test-retest reliability. When is this method best used? When should it not be used?
The accounting department at Weston Materials, Inc., a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model.
Tires a and tires b have an average lifespan of 50,000 miles. Tires A was found to have a standard deviation of 12,000 miles and tires b was found to have a standard deviation of 8,000 miles. Which tires are more reliable?
A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 10 children selected at random and finds that their mean attention span is 33 minutes with a standard deviation of 6 minutes.
Find a 95% confidence interval for the mean daily caloric intake. Interpret this interval.
Remember our bank that's sending out DVDs to try to get customers to make payments on delinquent loans? It is looking for evidence that the costlier DVD.
a group of 14 friends got together for a wine contest. each guest brought his or her favorite bottle of pinot noir.
If the autoeorrelation lag entries of matrix R1 of Eq. (7.45) correspond to thosc of an ARMA process of ordcr (p1, q1, the rank of R1 isp1, provided that p ≥ p1 and q ≥ p1.
Determine the mean production of acorn in the last six years and calculate the standard deviation of data relative to acorn production.
a warped coin has probability of 0.5 of landing heads probability of 0.3 of landing tails and probability 0.2 of
Construct a stem-and-leaf display for these data.- Construct a frequency distribution for these data.- Determine the interval width and the class mark for each of the classes in your frequency distribution.
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