Let us assume that the type of the probability density function of the flaw size distribution...

 

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Let us assume that the type of the probability density function of the flaw size distribution in a given nx e-x, where 'n s a constant. ensemble of specimens is known p(x) = nxe a) b) c) d) e) f) Determine the constant n (plot the probability density function before NDT). Determine the cumulative probability distribution (provide plot). Let us assume that all specimens are checked by an NDT method of known Probability of Detection POD(x) x /(1+x) and the defective parts are removed from the ensemble. g) h) i) What is the average flaw size? What is the median flaw size? Determine the modified probability density distribution after NDT (provide plot). Determine the modified cumulative probability distribution after NDT (provide plot). What is the modified average flaw size after NDT? What is the modified median flaw size after NDT? Plot the NDT method probability of detection? Let us assume that the type of the probability density function of the flaw size distribution in a given nx e-x, where 'n s a constant. ensemble of specimens is known p(x) = nxe a) b) c) d) e) f) Determine the constant n (plot the probability density function before NDT). Determine the cumulative probability distribution (provide plot). Let us assume that all specimens are checked by an NDT method of known Probability of Detection POD(x) x /(1+x) and the defective parts are removed from the ensemble. g) h) i) What is the average flaw size? What is the median flaw size? Determine the modified probability density distribution after NDT (provide plot). Determine the modified cumulative probability distribution after NDT (provide plot). What is the modified average flaw size after NDT? What is the modified median flaw size after NDT? Plot the NDT method probability of detection?