LHz =5.For the following performance function and values shown for the variables, determine thesafety index (B) and probability of failure (P). Use the First Order Reliability Method(FORM) by applying the formulas below. Then use the standard normal table provided tofind Pf.Z= f(w,x,y) = w³ x² + xy²-5 w²yFormulas:µz = f(µw, µx, Hy)Oz||mial formula to find the probabiliWB=XyMean (u)32=Oz (OZ / Ow) 2 |μ (ow ²) + (OZ / Ox)² μ (ox ²) + (OZ / Oy)² μ (oy ²)B = μz / OzPf = 1 - F (B)52Std. dev. (o)0.510.5Pf=Enter

The mentioned equation is, Z=f(w,x,y)=w3×x2+x×y2-5×w2×yμz=fμw,μx,μy

Answered: For the following performance function…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. Variable Type of variable Level of measurement X S ? O Nominal O Quantitative O Ordinal (a) Temperature (in degrees Celsius) O Interval O Categorical O Ratio O Nominal O Quantitative O Ordinal (b) Closing price (in dollars) of a stock O Interval O Categorical O Ratio O Quantitative Occupation Categorical Save For Later Continue O Nominal Ordinal Interval Ratio 2022 McGraw HILLLC All Rights Reserved. acer Submit Assignment Terms of Use Privacy Center Accessibility
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