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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Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
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The heights of adult women are normally distributed with a mean of 68 inches and a standard deviation of 3.2 inches. What is the probability that a randomly chosen adult woman will have a height greater than 62.6 inches? List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. There is a chance that a randomly chosen adult woman will have a height greater than 62.6 inches. Question Help: D Post to forum
Plz complete solution. A local fast-food restaurant has a soda dispensing machine that employees use to automatically fill large soft drink cups. The dispenser is preset to dispense 18 ounces of fluid each time with a standard deviation of 0.75 ounces. The dispensing follows a normal distribution. Use this data to solve What is the probability that a cup will contain 16.5 ounces or more? What is the probability that a cup will contain 16.5 ounces or less? What is the probability that a cup will contain between 15.75 and 18.4 ounces? What is the probability that a cup will contain between 18.0 and 18.3 ounces? What is the probability that a cup will contain between 15.35 and 18.85 ounces? How many ounces would the lowest 4 percent of cups contain? 21. What is your best guess at the number of ounces a cup would contain?
uppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 269 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball.b. Find the probability that a randomly hit fly ball travels less than 307 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
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