Suppose that extensive testing has revealed that people in Group A have IQ’s that are well described by a N(100, 10) distribution while the IQ’s of people in Group B have a N(105, 10) distribution. What is the probability that a randomly chosen individual from Group A has a higher IQ than a randomly chosen individual from Group B? (a) Write a formula to answer the question. You don’t need to evaluate the formula. (b) Write some R code to answer the question.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Suppose that extensive testing has revealed that people in Group A have IQ’s that are well described by a N(100, 10) distribution while the IQ’s of people in Group B have a N(105, 10) distribution. What is the probability that a randomly chosen individual from Group A has a higher IQ than a randomly chosen individual from
Group B?
(a) Write a formula to answer the question. You don’t need to evaluate the formula.
(b) Write some R code to answer the question.

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