### Annual Rainfall Distribution in a Region#### OverviewThe annual rainfall in a certain region is modeled using the normal distribution, as depicted below. The mean of the distribution is 36.5 cm, and the standard deviation is 5.2 cm.In the graphical representation, three values are missing along the axis. The middle value is under the highest part of the curve. The left and right values are each the same distance away from the middle value.Use the empirical rule to determine the best value for the percentage of the area under the curve that is shaded, and fill in the missing values along the axis.### Graph Analysis**Graph Description:**The graph shows a normal distribution curve (bell curve) representing the annual rainfall. The horizontal axis represents rainfall (in cm), and the vertical axis is not labeled but typically would represent frequency or probability density.**Key Points on the Graph:**- Mean (µ) = 36.5 cm (center of the bell curve).- Standard Deviation (σ) = 5.2 cm.**Missing Values:**Three values need to be identified on the horizontal axis:- The value under the highest part of the curve (mean value) is already given as 36.5 cm.- The other two missing values are at equal distances to the left and right of the mean.**Range Identification using Empirical Rule:**The empirical rule (68-95-99.7 rule) helps understand where data falls in a normal distribution:- About 68% of values fall within 1 standard deviation from the mean.- About 95% of values fall within 2 standard deviations from the mean.- About 99.7% of values fall within 3 standard deviations from the mean.**Detailed Diagram Explanation:**The diagram includes a shaded portion under the curve. The chosen percentage of the total area shaded needs to be determined from a dropdown list (suggesting options for 68%, 95%, or 99.7%).**Predicting the Missing Values:**Using the mean (36.5) and standard deviation (5.2):- To get the values which are within 1 standard deviation: - Mean ± 1σ: 36.5 ± 5.2, resulting in approximately 31.3 cm to 41.7 cm.- To get the values which are within 2 standard deviations: - Mean ± 2σ:

Name: ### Annual Rainfall Distribution in a Region#### OverviewThe annual r
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Annual Rainfall Distribution in a Region#### OverviewThe annual rainfall in a certain region is modeled using the normal distribution, as depicted below. The mean of the distribution is 36.5 cm, and the standard deviation is 5.2 cm.In the graphi

Answered: Image /qna-images/answer/c21a8b56-7989-4505-a976-b68c39ca58ae.jpg

Math

Statistics

The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, there are three missing values to fill in along the axis. The middle value is under the highest part of the curve. And, the left and right values are each the same distance away from the middle value. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and fill in the missing values along the axis. Percentage of total area shaded: (Choose one) v 200 25 30 35 I 40 45 50 Rainfall (in cm)

The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, there are three missing values to fill in along the axis. The middle value is under the highest part of the curve. And, the left and right values are each the same distance away from the middle value. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and fill in the missing values along the axis. Percentage of total area shaded: (Choose one) v 200 25 30 35 I 40 45 50 Rainfall (in cm)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The mean score on a driving exam for a group of drivers education students is 72 points with a standard deviation of 6 points. apply Chebyshev theorem to the data using K=2. Interpret the results. Simplify answer.
For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 62 hours and a standard deviation of 11 hours. John owns one of these computers and wants to know the number of hours when the computer would have 12% of its battery life left. Sketch the region in question. Write a sentence describing what your answer represents about the problem's specefics.
The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard deviation of 3 inches. What proportion of brook trout caught will be less than 18 inches in length?
The average birth weight of elephants is 250 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 40 pounds. Find the birth weight of elephants at the 90th percentile.
A study reported that the mean concentration of ammonium in water wells in the state of Iowa was 0.71 milligram per liter, and the standard deviation was 1.09 milligrams per liter. Is it possible to determine whether these concentrations are approximately normally distributed. If so, say whether they are normally distributed, and explain how you know. If not, describe the additional information you would need to determine whether they are normally distributed.
The scores on the Accuplacer test and High School GPAs are normally distributed.The Accuplacer test had a mean of 35 and a standard deviation of 9.High School GPAs had a mean of 2.7 and a standard deviation of 0.2.What high school GPA do you need to equal a score of 24 on the Accuplacer test?Give answer to two decimal places.
The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation 40.5. All units are in mg/10 mL. Find the 40th The annual precipitation for one city is normally distributed with a mean of 26.8 inches and a standard deviation of 3.2 inches. What precipitation amounts will contain 99.7% of the observations?
Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of the values, then calculate the mean of the remaining values. Use axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any outliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean. 247 261 269 273 275 280 282 282 284 285 285 287 290 292 293 296 296 299 311 507 Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The outlier(s) is/are pounds. (Type a whole number. Use a comma to separate answers as needed.) C OB. There are no outliers.
The average number of calories in a regular-size bagel is 240. If the standard deviation is 38 calories, find the range in which at least 75% of the data will lie. Use Chebyshev's theorem.
According to data for a population, 3-year-old boys have a mean height of 39 inches and a standard deviation of 2 inches. Assume the distribution is approximately Normal. Find the percentile measure for a height of 41 inches for a 3-year-old boy
a sugar company packages sugar in 5kg bags. the amount of sugar per bag varies according to a normal distribution. a sample of 25 bags is selected from the days production and the mean for the day is 4.98 kg and the standard deviation is 0.05 kg. ( use 1-a= 0.95 ) the margin of error for the amount of sugar is?
Length of snowboards in a boardshop are normally distributed with a mean of 151.6 cm and a standard deviation of 0.7 cm. The figure below shows the distribution of the length of snowboards in a boardshop. Calculate the shaded area under the curve.Express your answer in decimal form accurate to at least two decimal places.