Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 14. 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 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 o 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 ¤(B). Find the value of B. (c) Which probability is larger? Select one: O None. They are equal. O That in the class of size 100. O That in the class of size 36.
Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 14. 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 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 o 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 ¤(B). Find the value of B. (c) Which probability is larger? Select one: O None. They are equal. O That in the class of size 100. O That in the class of size 36.
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...
Related questions
Question
Transcribed Image Text:Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 14. 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 O 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 o(B). Find the value of B.
(c) Which probability is larger?
Select one:
O None. They are equal.
O That in the class of size 100.
O That in the class of size 36.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON