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We are asked to evaluate a cell phone app for identifying poisonous plants. The app takes as input a picture of a plant, and classifies it as either poisonous or safe. We test the app with a large mumber of plant pictures, and observe the following: • 1% of all pictures depiet poisonons plants. • The app identifies 90% of the pictures showing poisonous plants correctly as poisonous. • Among all pictures showing safe plauts, the app identifies 91.4% percent as safe. Suppose we choose a random picture, and the app identifies it as poisonous. What is the probability that the depicted plant is safe?

We are asked to evaluate a cell phone app for identifying poisonous plants. The app takes as input a picture of a plant, and classifies it as either poisonous or safe. We test the app with a large mumber of plant pictures, and observe the following: • 1% of all pictures depiet poisonons plants. • The app identifies 90% of the pictures showing poisonous plants correctly as poisonous. • Among all pictures showing safe plauts, the app identifies 91.4% percent as safe. Suppose we choose a random picture, and the app identifies it as poisonous. What is the probability that the depicted plant is safe?

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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We are asked to evaluate a cell phone app for identifying poisonous plants. The app takes as inpnt a picture of a plant, and classifies it as either poisonous or safe. We test the app with a large mumber of plant pictures, and observe the following: • 1% of all pictures depict poisonons plants. • The app identifies 90% of the pictures showing poisonous plants correctly as poisonous. • Among all pictures showing safe plants, the app identifies 91.4% percent as safe. Suppose we choose a random picture, and the app identifies it as poisonous. What is the probability that the depicted plant is safe?
Transcribed Image Text:We are asked to evaluate a cell phone app for identifying poisonous plants. The app takes as inpnt a picture of a plant, and classifies it as either poisonous or safe. We test the app with a large mumber of plant pictures, and observe the following: • 1% of all pictures depict poisonons plants. • The app identifies 90% of the pictures showing poisonous plants correctly as poisonous. • Among all pictures showing safe plants, the app identifies 91.4% percent as safe. Suppose we choose a random picture, and the app identifies it as poisonous. What is the probability that the depicted plant is safe?
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