### Problem on Virus TestingGiven a test for a virus with sensitivity = 0.94 and specificity = 0.98 is administered to a population where 25% actually has the virus.#### a) Determine the probability of:i) **A false positive** (positive test, but no virus)ii) **A false negative** (has the virus, but negative test)iii) **A correct diagnosis** (either virus and positive or no virus and negative)#### b) Determine the PPV (positive predictive value) for the test.

Given Information is:Sensitivity (True Positive Rate) of the test (P(Positive Test | Virus Present))…

Answered: Given a test for a virus with…

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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Based on tests of the Chevrolet Cobalt, the miles per gallon in highway driving are normally distributed with a mean of 32 mpg and a standard deviation of 3.5mpg. Suppose that 10 cobalt are randomly selected and the miles per gallon for each car recorded. What is the probability that the mean miles per gallon exceeds 34 mpg?
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Number 1, Letters a, b, and c
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Please do the following questions with full handwritten working out. Mean= 0.177911 Variance=0.057632
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