**Which of the distributions shown has the smallest standard deviation?****Choose One:**1. - O The green curve, because its peak is furthest to the left on the number line.2. - O The black curve, because it is the widest.3. - O The red curve, because it is between the other two curves.4. - O The green curve, because it is the narrowest.**Explanation of Graphs and Diagrams:**The image shows a graph with three different curves, each representing a probability distribution:- **Green Curve:** This curve is the narrowest and has the highest peak among the three. The narrowness of this curve indicates a smaller standard deviation.- **Red Curve:** This curve is wider than the green curve but narrower than the black curve. It sits in between the two extremes in terms of standard deviation.- **Black Curve:** This curve is the widest and has the lowest peak among the three. The width of this curve indicates the largest standard deviation.Standard deviation is a measure of the amount of variation or dispersion in a set of values. The narrower the curve, the smaller the standard deviation, as the data points are closer to the mean. Conversely, the wider the curve, the larger the standard deviation, indicating that the data points are more spread out from the mean.

Given : There is given 3 curve in a diagram which is shown by red , green and black color

Answered: Which of the distributions shown has…

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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Which of the following is true about a sampling distribution. Click all that apply. a. The larger the sample, the smaller the spread in the sampling distribution. b. In non-normal populations, the sampling distribution will approximately be normal if we have a large n. c. If the population size is significantly greater than the sample size, the spread of a sampling distribution is around the same pattern even if the sample size changes. d. The standard deviation of the sampling distribution is equal to the population standard deviation divided by n.
Yellow one is tab #1
The age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and 5.87 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.35 and 5.55 years old is e. If such a child is at the 44th percentile; how old is that child? years old. Question Help: Video 1 C Video 2 e Written Example 1 Message instructor Submit Question Jump to Answer 80 こ。 DD F3 F4 F5 F6 F7 FS %23 $ & 1 3 4 7 8. 9 W E R T Y S K C B M つ
Nn.39. Subject :- Advance Mathematic
ch 13
hich of the following statements is true of the above graphs? A (B) C D 35 40 45 50 55 60 65 E The mean and standard deviation are identical for both distributions. The mean is identical for both distributions; the standard deviation is larger for distribution B. The mean is identical for both distributions; the standard deviation is larger for distribution A. The standard deviation is identical for both distributions; the mean is larger for distribution B. The standard deviation is identical for both distributions; the mean is larger for distribution A % & 44 46 48 50 52 54 56 14
The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.72 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.08 and 5.28 years old is e. If such a child is at the 74th percentile, how old is that child? years old.
D, e, f and h
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P9, the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%. Which graph represents P9? Choose the correct graph below.
The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.8 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.38 and 5.58 years old is e. If such a child is at the 40th percentile, how old is that child? years old.
please show steps for C. D. & E. thank you.
Which of the following is the best statement of the Law of Large Numbers? If the parent population (from which the data are drawn) is normally distributed, then the sample mean, , will follow a normal distribution. For bell-shaped data, approximately 68% of the data will be within one standard deviation of the mean, about 95% of the data will be within two standard deviations of the mean, and approximately 99.7% of the data will be within three standard deviations of the mean. If the sample size is large, the sample mean will be close to the population mean µ If the sample size is large, the shape of the sampling distribution of the sample mean will be approximately normal.

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