embedded sensor is used to monitor a neuron in a human brain. We monitor the sensor reading for 100 ms and see if there was a spike within the period. If the person thinks of flexing his knee, we will see a spike with probability 0.9. If the person is not thinking of flexing his knee (due to background noise), we will see a spike with probability 0.01. For the average person, the probability of thinking of flexing a knee is 0.001 within a given period. (a) What is the probability that we will measure a spike? (b) What is the probability that the person wants to flex his knee, given that a spike was measured? (c) What is the probability that the person wants to flex his knee, given that no spike was measured?

embedded sensor is used to monitor a neuron in a human brain. We monitor the sensor reading for 100 ms and see if there was a spike within the period. If the person thinks of flexing his knee, we will see a spike with probability 0.9. If the person is not thinking of flexing his knee (due to background noise), we will see a spike with probability 0.01. For the average person, the probability of thinking of flexing a knee is 0.001 within a given period. (a) What is the probability that we will measure a spike? (b) What is the probability that the person wants to flex his knee, given that a spike was measured? (c) What is the probability that the person wants to flex his knee, given that no spike was measured?

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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