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. Answer: (b) The approximate probability that the average test score exceeds 65 in the class of size 36 is ¤(B). Find the value of ß. Answer:
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. Answer: (b) The approximate probability that the average test score exceeds 65 in the class of size 36 is ¤(B). Find the value of ß. Answer:
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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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 o(a), where o is the cumulative distribution
function of a standard normal random variable. Find the value of a.
Answer:
(b) The approximate probability that the average test score exceeds 65 in the class of size 36 is o(B). Find the value of B.
Answer:
Transcribed Image Text:(c) Which probability is larger?
Select one:
• That in the class of size 36.
None. They are equal.
• That in the class of size 100.
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