The problem presented involves a normal distribution with a mean (μ) of 35 and a standard deviation (σ) of 4. The task is to find the probability that a randomly selected x-value from this distribution falls within a specified interval.### Explanation of the Diagrams:**First Diagram:**- A bell-shaped curve represents the normal distribution.- The x-axis is marked with values: 19, 23, 27, 31, 35 (mean), 39, 43, 47, and 51.- The shaded blue area under the curve represents the probability of x falling within one standard deviation of the mean (31 to 39).- The probability indicated is **68.27%**.**Second Diagram:**- The same normal distribution and x-axis values are shown.- A different shaded blue area under the curve shows another interval.- This interval specifically captures x-values, demonstrating the probability within this new range.- The probability indicated is **47.72%**.### Additional Elements:- Text boxes display the calculated probabilities for each interval.- There's a "Question Help" section with an option to "Message instructor".- A "Submit Question" button is available for further interaction or submission of answers.

Given,Mean, μ = 35Standard deviation, σ = 4Using formula (Empirical rule),Empirical rule states…

Answered: A normal distribution has a mean of 35…

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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