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Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 13. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variablo. Find thoualue of o

Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 13. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variablo. Find thoualue of o

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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Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 13. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variable. Find the value of a.
Transcribed Image Text:Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 13. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variable. Find the value of a.
(b) The approximate probability that the average test score exceeds 65 in the class of size 36 is (ß). Find the value of ß.
Transcribed Image Text:(b) The approximate probability that the average test score exceeds 65 in the class of size 36 is (ß). Find the value of ß.
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