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Question: Use the reliability model for a catchment basin as provided in Problem to compute the mean C that you would permit for a flow F so that the failure probability does not exceed 0.01. Provide your answer in the form of a mean C/F ratio. Perform parametric analysis by varying the target failure probability as follows: 0.01, 0.005, 0.001, 0.0005, and 0.0001.
Problem: Catchment basins are used to protect residential areas and highways from mud slides. A mudslide basin has a capacity of C, which is a random variable with a COV of 0.2. The expected 25-year maximum inflow is denoted F with a COV of 1.0. Develop an expression for computing the reliability index and the failure probability assuming lognormal probability distributions for both C and F. Compute the reliability index and the failure probability assuming that the mean ratio of C/F is 1.0, 1.2, 1.4, 1.6, 1.8, 2.0, 2.2, 2.4, 2.6, 2.8, and 3.0. What mean ratio would you recommend to protect a highway section with average traffic volume of 5000 vehicles per day at an average speed of 50 mph? Discuss and justify your selection.
A space vehicle requires five out of its six main engines to operate in order to achieve orbit. If each engine has a reliability of 0.99, determine the reliability of achieving orbit.
a random sample of forty-three 200 meter swims has a mean time of 3.27 minutes and a standard deviation of 0.07
Let X be the number of tumors in a fish living in a river. Suppose that it has the following probability mass function f(0) = 0.9 f(1) = 0.7 f(2) = 0.02 f(3) = 0.01 A random sample of size n = 30 is selected from this population. Approximate the p..
suppose you roll a die three times.a what is the probability of a getting total of two 5s from all three rolls of
suppose that when certain geological conditions exist there is a 20 chance of striking oil. a drilling company finds
it is your birthday and you are waiting for someone to write you a birthday message on facebook. on average on your
Given a population of 35 workers in your company, you know that you get 23 of them to work 65 hours per week. However, the team you manage is only 10 people
explosive devices used in mining operations produce nearly circular craters when detonated. the radii of these craters
suppose the following data are selected randomly from a population of normally distributed values.44 51 43 48 45 57 54
Is there sufficient evidence to reject the claim that the mean annual income of teachers in state of Utah is greater than or equal to the mean annual income of teachers in Oregon? Perform a one-tailed test.
One objective of this course is learning how to correctly interpret statistical measures.
the acme bacon company distributes bacon in packages labelled 500 grams. an inspector randomly selects 49 of these
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