A university group of engineering internships is collaborating with a local farming division to test their almond crops. Almonds are modified to avoid dangerous levels of cyanide. Let C be the event that a batch has cyanide levels that exceed the FDA recommendations ("poisonous"). Prior data shows that P(C) = 0.03 For the quality assurance testing (7), the farm wants the probability that a batch of almonds is poisonous given that the the test returns positive to exceed 90 percent. What do the sensitivity P( T |C) and the specificity P( T ^ (∞) |C^ infty ) levels have to be to achieve that goal? Assume that the sensitivity and specificity values are the same.

A university group of engineering internships is collaborating with a local farming division to test their almond crops. Almonds are modified to avoid dangerous levels of cyanide. Let C be the event that a batch has cyanide levels that exceed the FDA recommendations ("poisonous"). Prior data shows that P(C) = 0.03 For the quality assurance testing (7), the farm wants the probability that a batch of almonds is poisonous given that the the test returns positive to exceed 90 percent. What do the sensitivity P( T |C) and the specificity P( T ^ (∞) |C^ infty ) levels have to be to achieve that goal? Assume that the sensitivity and specificity values are the same.

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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