Within the context of screening test evaluation: P(T | +) = P(T)⋅P(+∣T)P(+)\frac{P(T) \cdot P(+ | T)}{P(+)}P(+)P(T)⋅P(+∣T)​ are the sensitivity and specificity. P(~T | -) = \(\frac{P(~T) \cdot P(- | ~T)}{P(-)} are called the positive predictivity and negative predictivity. Given the data set below, compute the following:   Tuberculosis (T)   X-ray (X) No (T∼\sim∼) Yes (T) Negative (-) 2,350 20 Positive (+) 120 55 Total 2,470 75 a. Sensitivityb. Specificityc. Positive predictivityd. Negative predictivity Medical research has concluded that people experience a common cold roughly two times per year. Assume that the time between colds is normally distributed with a mean of 130 days and a standard deviation of 30 days. a. What is the probability of going 180 or more days between colds?b. What is the probability of going 240 or more days?c. What is the probability of going 230 or less days? Find a z value such that the probability of obtaining a larger z value is only 0.15.

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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  1. Within the context of screening test evaluation:
    1. P(T | +) = P(T)⋅P(+∣T)P(+)\frac{P(T) \cdot P(+ | T)}{P(+)}P(+)P(T)⋅P(+∣T)​ are the sensitivity and specificity.
    2. P(~T | -) = \(\frac{P(~T) \cdot P(- | ~T)}{P(-)} are called the positive predictivity and negative predictivity.
    Given the data set below, compute the following:
  Tuberculosis (T)  
X-ray (X) No (T∼\sim∼) Yes (T)
Negative (-) 2,350 20
Positive (+) 120 55
Total 2,470 75

a. Sensitivity
b. Specificity
c. Positive predictivity
d. Negative predictivity

  1. Medical research has concluded that people experience a common cold roughly two times per year. Assume that the time between colds is normally distributed with a mean of 130 days and a standard deviation of 30 days.

    a. What is the probability of going 180 or more days between colds?
    b. What is the probability of going 240 or more days?
    c. What is the probability of going 230 or less days?

  1. Find a z value such that the probability of obtaining a larger z value is only 0.15.
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