Probability Problem 2: Engineering Risk and Uncertainty?

  • Thread starter Thread starter Guinness
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Guinness

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The size in mm of a crack in a structural weld is described by a random variable X with the following PDF:

f_X(x) = x/8 for 0<x<=2
= 1/4 for 2<x<=5
= 0 for elsewhere

b) Determine the mean crack size
c) What is the probability that a crack will be smaller than 4mm?
d) Determine the median crack size
e) Suppose there are 4 cracks in the weld. What is the probability that only one of these 4 cracks is larger than 4mm?


Could use some help. Ideas?
 
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