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A repairman services n machine of a certain type, which are all placed in one column, one next to each other. The distance between two successive machines is a. The repairman moves to the next machine after he finishes the repair of one machine and only if a new machine needs a repair. Assuming that each machine operates independently of any other machine and the probability of a machine failure is p>0, what is the average distance the repairman has to cover when he moves from one machine that he repaired to another. This problem is a bit challenging. I suggest that you use two random variables to solve it. What is the expected distance that the repairman has to cover if the repairman has just repaired the first machine in the column?
Find the inverse of the matrix, if it exists. Verify your answer. (If an answer does not exist, enter DNE.)
Find the breakeven volume as a percentage of capacity.
Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.
Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
What would be a reasonable density function for L?, b) What is the average distance that the worker needs to walk to the retrieval location (including units)?
Operator A began working at 9 AM. The probability that Operator A finishes before Operator B is 0.90. What time did operator B start working?
Solving linear programming problem.
A machine produces widgets at a defective rate of 10%. A sample of 5 widgets is taken, What is the probability that less than 2 of them are defective?
Important information about Mathematics - Poisson Distribution, Metal plates are inspected regularly for flaws and average 2 flaws per square yard. Assume a Poisson process is applicable and calculate the probability of getting
F ind the probability that the mean of the number of hours they watch television will be greater than 27.3 hours. Give your answer to 2 decimal places.
In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:
Find the order of accuracy for the Improved Euler Method using a Taylor Series Expansion.
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