10_Chapter 4 Examples handout

# 10_Chapter 4 Examples handout - Chapter 4 Examples 1 Assume...

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Chapter 4 Examples 1. Assume the waiting time at a bus stop is uniformly distributed on the interval [0, 5]. The probability that it is between 1 and 3 minutes on any particular occasion is 2. Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. An article proposes the following pdf as a model for the X distribution: (a) Verify that f ( x ; θ ) is a legitimate pdf. (b) Suppose θ = 100. What is the probability that X is at most 200? Less than 200? At least 200? (c) What is the probability that X is between 100 and 200, still assuming θ = 100?

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(d) Give an expression for P ( X x ). 3. Suppose the cdf of the magnitude X of a dynamic load on a bridge is given by: (a) The probability that the load is between 1 and 1.5 is: (b) The probability that the load exceeds 1 is:
Let X be a continuous rv with cdf: (a) What is P ( X ≤ 1)? (b) What is

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## This note was uploaded on 06/12/2008 for the course STAT 360 taught by Professor Johnson during the Spring '08 term at Washington State University .

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10_Chapter 4 Examples handout - Chapter 4 Examples 1 Assume...

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