Answered: manufacturer knows that their items…

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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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.5 years, and standard deviation of 2.4 years.

If you randomly purchase one item, what is the probability it will last longer than 18 years?

A particular fruit's weights are normally distributed, with a mean of 258 grams and a standard deviation of 9 grams.

If you pick one fruit at random, what is the probability that it will weigh between 232 grams and 261 grams

The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 14 days.

What percentage of pregnancies last fewer than 271.8 days?

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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