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Data collected over 60 consecutive days, revealed 2 days where defects were observed in machine parts. To assess the uncertainty of the probability estimate, calculate the posterior probability distribution using a non-informative prior [p (0) = 1] and steps of 0.001. You must ensure the area under the posterior probability function is equal to 1. Calculate the constant K that makes the area under the pdf equal to 1.

Data collected over 60 consecutive days, revealed 2 days where defects were observed in machine parts. To assess the uncertainty of the probability estimate, calculate the posterior probability distribution using a non-informative prior [p (0) = 1] and steps of 0.001. You must ensure the area under the posterior probability function is equal to 1. Calculate the constant K that makes the area under the pdf equal to 1.

A First Course in Probability (10th Edition)
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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You are analyzing the probability of defective machine parts coming out of an assembly line. Data collected over 60 consecutive days, revealed 2 days where defects were observed in machine parts. To assess the uncertainty of the probability estimate 8, calculate the posterior probability distribution using a non-informative prior [p (0) = 1] and steps of 0.001. You must ensure the area under the posterior probability function is equal to 1. Calculate the constant K that makes the area under the pdf equal to 1. Note: Use the trapezoidal rule to integrate the function numerically. See computer lab 4. Assume the probability of defects in machine parts in any day is statistically independent. Answer is given in scientific notation. Round your answers to only 3 decimals. The constant K = type your answer... x10-6
Transcribed Image Text:You are analyzing the probability of defective machine parts coming out of an assembly line. Data collected over 60 consecutive days, revealed 2 days where defects were observed in machine parts. To assess the uncertainty of the probability estimate 8, calculate the posterior probability distribution using a non-informative prior [p (0) = 1] and steps of 0.001. You must ensure the area under the posterior probability function is equal to 1. Calculate the constant K that makes the area under the pdf equal to 1. Note: Use the trapezoidal rule to integrate the function numerically. See computer lab 4. Assume the probability of defects in machine parts in any day is statistically independent. Answer is given in scientific notation. Round your answers to only 3 decimals. The constant K = type your answer... x10-6
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