Scores made on a certain aptitude test by nursing students are approximately normally distributed with a mean of 500 and a variance of 10,000. (a) What proportion of those taking the test score below 200? (b) A person is about to take the test. What is the probability that he or she will make a score of 650 or more? (c) What proportion of scores fall between 350 and 675?

Scores made on a certain aptitude test by nursing students are approximately normally distributed with a mean of 500 and a variance of 10,000. (a) What proportion of those taking the test score below 200? (b) A person is about to take the test. What is the probability that he or she will make a score of 650 or more? (c) What proportion of scores fall between 350 and 675?

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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Question

Scores made on a certain aptitude test by nursing students are approximately normally distributed with a mean of 500 and a variance of 10,000.
1. (a) What proportion of those taking the test score below 200?
2. (b) A person is about to take the test. What is the probability that he or she will make a score of
  
  650 or more?
3. (c) What proportion of scores fall between 350 and 675?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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