The measurement error X of a sensor is modeled as a normal random variable with parameters μ=0 and σ=0.1. a) What is the expected value of the measurement error? b) What is the probability that the measurement error will be within 1 standard deviation of its expected value, rounded to two decimal places? c) What is P(|X|>0.2)?

The measurement error X of a sensor is modeled as a normal random variable with parameters μ=0 and σ=0.1. a) What is the expected value of the measurement error? b) What is the probability that the measurement error will be within 1 standard deviation of its expected value, rounded to two decimal places? c) What is P(|X|>0.2)?

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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The measurement error X of a sensor is modeled as a normal random variable with parameters μ=0 and σ=0.1.

a) What is the expected value of the measurement error?

b) What is the probability that the measurement error will be within 1 standard deviation of its expected value, rounded to two decimal places?

c) What is P(|X|>0.2)?

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