Answered: 1. A class is given an exam. The…

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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1. A class is given an exam. The distribution of the scores is normal. The mean score is 70 and the standard deviation is 11. Determine the test score, cc, such that the probability of a student having a score greater than cc is 61%61%.

P(x>c)=0.61P(x>c)=0.61

Find c rounded to one decimal place.

2. A particular fruit's weights are normally distributed, with a mean of 726 grams and a standard deviation of 26 grams.

If you pick one fruit at random, what is the probability that it will weigh between 742 grams and 791 grams

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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