A manufacturer knows that their items have a normally distributed length, with a mean of 12.3 inches, and standard deviation of 3.2 inches.If one item is chosen at random, what is the probability that it is less than 13 inches long?___________A manufacturer knows that their items lifespans are normally distributed with mean = 5.6 and standard deviation = 0.8.What proportion of the items' lifespans will be longer than 8 years?___________________ Round to 4 decimal places.A particular fruit's weights are normally distributed, with a mean of 488 grams and a standard deviation of 11 grams.If you pick one fruit at random, what is the probability that it will weigh between 464 grams and 472 grams_____________

Let's assume, X = item's length The probability that the item is less than 13 inches long, is…

Answered: A 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 length, with a mean of 12.3 inches, and standard deviation of 3.2 inches.

If one item is chosen at random, what is the probability that it is less than 13 inches long?___________
A manufacturer knows that their items lifespans are normally distributed with mean = 5.6 and standard deviation = 0.8.

What proportion of the items' lifespans will be longer than 8 years?

___________________ Round to 4 decimal places.
A particular fruit's weights are normally distributed, with a mean of 488 grams and a standard deviation of 11 grams.

If you pick one fruit at random, what is the probability that it will weigh between 464 grams and 472 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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