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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This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
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
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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On average, a banana will last 6.5 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil different if the banana is hung from the ceiling? The data show results of an experiment with 11 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.3, 6, 5.5, 7, 5.4, 5.7, 6.2, 6.4, 9.1, 8.7, 8.3 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv C. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. R. Thus, the final conclusion is that 2
The volume of blood in an adult human body follows a normal distribution with a mean of 5.2 liters and a standard deviation of 0.3 liters. Use this information to answer questions 11- 13 and remember required steps. 11. If a random sample of 16 adults is selected, calculate the probability that their mean blood volume is lower than 5.4 liters. 12. If a single adult is selected, calculate the probability the blood volume is higher than 5.9 liters. 13. What is the first quartile for blood volume for all adults?

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