For items 1-3, please refer to the problem below: The average grade of the students in Statistics is 87 with a standard deviation of 2.15. Assume that the variable is normally distributed. 1. What is the probability that the grade of a student is greater than 90? 2. If a student is selected at random, what is the probability that the grade of the student will be below 86? 3. If a random sample of 50 students is chosen, what is the probability that the average grade is not less than 85?
For items 1-3, please refer to the problem below: The average grade of the students in Statistics is 87 with a standard deviation of 2.15. Assume that the variable is normally distributed. 1. What is the probability that the grade of a student is greater than 90? 2. If a student is selected at random, what is the probability that the grade of the student will be below 86? 3. If a random sample of 50 students is chosen, what is the probability that the average grade is not less than 85?
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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![For items 1-3, please refer to the problem below:
The average grade of the students in Statistics is 87 with a standard deviation of 2.15. Assume
that the
variable is normally distributed.
1. What is the probability that the grade of a student is greater than 90?
2. If a student is selected at random, what is the probability that the grade of the student
will be below 86?
3. If a random sample of 50 students is chosen, what is the probability that the average
grade is not less than 858](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffa9b80c-e237-4e05-ba2b-c0fa8070be51%2Faf33a88a-4896-4bf3-bb7a-ee9d5cc6ca4a%2F2tqauwf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For items 1-3, please refer to the problem below:
The average grade of the students in Statistics is 87 with a standard deviation of 2.15. Assume
that the
variable is normally distributed.
1. What is the probability that the grade of a student is greater than 90?
2. If a student is selected at random, what is the probability that the grade of the student
will be below 86?
3. If a random sample of 50 students is chosen, what is the probability that the average
grade is not less than 858
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