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Question: A critical electronic component with mean time to failure of x years can be purchased for 2x thousand dollars (thus, the more reliable the component, the more expensive it is). The value of x is restricted to being between 1 to 10 years, and lhe actual time to failure is modeled as exponentially distributed. The mission for which the component is to be used lasts one year; if the component fails in less than one year, then there is a cost of $20,000 for early failure. What value of x should be chosen to minimize the expected total cost (purchase plus early failure)? To solve this problem, develop a simulation that generates a total cost for a component with mean time to failure of x years. This requires sampling an exponentially distributed random variable with mean x, and then computing the total cost as 2000x plus 20,000 if the failure time is less than I. Fit a quadratic meta model in x and use it to find the value of x that minimizes the fitted model. [Hints: Select several values of x between 1 and 10 as design points. At each value of x, let the response variable Y(x) be the average of at least 30 observations of total cost.]
in a large insitution 2.28% of emplyees receive income below 4500 dollars a day and still 15.87% of employees receive income above 7500 dollars. assuming normal distribution. find the mean and standard deviation of income.
Probability of Coins Drawn, Suppose you have 6 nickels, 4 dimes, and 2 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
Suppose we have five symbols available, and these are %, $, #, * and &. One plan is to form passwords by using different orderings of these five symbols.
Car A and Car B leave the origin at noon. Car A travels north at 264 mph and car B travels east at 448 mph.
angle of 58 degrees with level ground. At a point 29 feet from the base of the tower and in line with the base of the guy wire, the angle of elevation to the top of the tower is 27 degrees. What is the length of the guy wire?
Karen is constructing a pie graph to represent the number of hours her classmates do homework each day. She found that 8/24 did homework for three hours each day. In her pie graph, this would represent how many degrees?
How many distinguishable orderings of the letters of MILLIMICRON begin with M and end with N?
What is the probability that a randomly selected value from the distribution will be less than 2.1 standard deviations from the mean?
China was second largest contributor, emitting 850 million tons. US emissions were increasing at 1.3% a year, while Chinese emissions were increasing at 4% a year. Assuming these growth rates continued determine the year when China will exceed US ..
A kilobyte is 2^10. A megabyte is 2^20 bytes. How many kilobytes are in a megabyte? Use the exponent rule for division to find your answer and give your answer in exponential form.
A man rows a boat 550 feet upstream against a constant current in 10 minutes. He then rows 325 feet downstream (with the same current) in 5 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
A rectangular piece of metal is 10 cm longer than it is wide. Squares with sides 2 cm long are cut from the four corners of the piece of metal, and the flaps are folded upward to form an open box. If the volume of the box is 832 cm3, what were the..
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