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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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In a university entrance exam, the results in a certain subject are scaled so that the marks will be normally distributed with mean 100 and standard deviation 25. Students in the top 15% of the marks are awarded an A-grade; a B-grade is awarded to those in the next 10% of the marks. Using the provided list of z-scores, answer the questions below.

P r(0 ≤ z ≤ 0.52) = 0.20, P r(0 ≤ z ≤ 0.67) = 0.25

P r(0 ≤ z ≤ 0.84) = 0.30, P r(0 ≤ z ≤ 1.04) = 0.35,

P r(0 ≤ z ≤ 1.28) = 0.40, P r(0 ≤ z ≤ 1.64) = 0.45.

(a) What is the cut-off mark for an A-grade?

(b) What is the cut-off mark for a B-grade?

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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