Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 75.3 and a standard deviation of 7.1. (a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to two decimal places.) % (b)What is the probability that a randomly chosen student earned an "A" (90 or above) on the test? (Round your answer to 4 decimal places.) (c) At what score was the rate of change of the probability density function for the scores a maximum?

Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 75.3 and a standard deviation of 7.1. (a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to two decimal places.) % (b)What is the probability that a randomly chosen student earned an "A" (90 or above) on the test? (Round your answer to 4 decimal places.) (c) At what score was the rate of change of the probability density function for the scores a maximum?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 75.3 and a
standard deviation of 7.1.
(a) What percentage of students taking the test had scores between 60 and 80? (Round your answer to two decimal places.)
%
(b)What is the probability that a randomly chosen student earned an "A" (90 or above) on the test? (Round your answer to 4 decimal places.)
(c) At what score was the rate of change of the probability density function for the scores a maximum?
(d) According to the Empirical Rule, approximately what percentage of scores were above 82.4?
(e) According to the Empirical Rule, the lowest 2.5% of the scores were below

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