Q2. Two safety inspectors inspect a new building and assign it a “safetyscore" of 1, 2, 3, or 4. Suppose that the random variable X is the scoreassigned by the first inspector and the random variable Y is the scoreassigned by the second inspector, and that they have a joint probabilitymass function given in the following table:Y123410.090.020.20.0220.010.10.10.0330.040.010.040.240.010.020.10.01 (a) What is the probability that both inspectors assign different safetyscore?(b) What is the probability that the first inspector assigns a highersafety score than the second inspector?(c) Are the scores assigned by the two inspectors independent of eachother? Would you expect them to be independent? IHow wouldyou interpret the situation if they were independent?(d) If the first inspector assigns a score of 2, what is the conditionalvariance of the score assigned by the second inspector?(e) What is the correlation between the scores assigned by the twoinspectors? If you are responsible for training the safety inspectorsto perform proper safety evaluations of buildings, what correlationvalue would you like there to be between the scores of two safetyinspectors?

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Q2. Two safety inspectors inspect a new building and assign it a "safety score" of 1, 2, 3, or 4. Suppose that the random variable X is the score assigned by the first inspector and the random variable Y is the score assigned by the second inspector, and that they have a joint probability mass function given in the following table: Y 1 2 3 4 0.09 0.02 0.2 0.02 2 0.01 0.1 0.1 0.03 3 0.04 0.01 0.04 0.2 4 0.01 0.02 0.1 0.01

Q2. Two safety inspectors inspect a new building and assign it a "safety score" of 1, 2, 3, or 4. Suppose that the random variable X is the score assigned by the first inspector and the random variable Y is the score assigned by the second inspector, and that they have a joint probability mass function given in the following table: Y 1 2 3 4 0.09 0.02 0.2 0.02 2 0.01 0.1 0.1 0.03 3 0.04 0.01 0.04 0.2 4 0.01 0.02 0.1 0.01

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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