13.11 Random numbers. If you ask a computer to generate “random numbers" between 0and 5, you will get observations from a uniform distribution. Figure 13.12 shows the densitycurve for a uniform distribution. This curve takes the constant value 0.2 between 0 and 5 andis zero outside that range. Use this density curve to answer these questions.a. Why is the total area under the curve equal to 1?b. The curve is symmetric. What is the value of the mean and median?c. What percentage of the observations lie between 4 and 5?d. What percentage of the observations lie between 1.5 and 3?height = 0,20Moore/Notz, Statistics: Concepts and Controversies, 10e, 0 2020 W. H. Freeman and CompanyFigure 13.12 The density curve of a uniform distribution, for Exercise 13.11.Observations from this distribution are spread "at random" between 0 and 5. IQ test scores. Figure 13.13 is a stemplot of the IQ scores that are consistent with the 2018article "Flynn effect and its reversal are both environmentally caused." This distribution isvery close to Normal with mean 100 and standard deviation 10. Use the Normal distributionwith mean 100 and standard deviation 10 as a description of the IQ test scores of all adults.Use this distribution and the 68-95-99.7 rule to answer Exercises 13.12 to 13.14.8 | 2467789999 0001222455555667788888899900000111112234410105555566677888991102233115566812234Moore/Notz, Statistics: Concepts andControversies, 10e, © 2020 W. H.Freeman and CompanyFigure 13.13 Stemplot of the IQ scores of 80 adults, forExercises 13.12 to 13.14. (Key: A stem of 8 and a leaf of 2means 82.)13.12 Between what values do the IQ scores of 68% of all adults lie?

X ~ uniform(a,b) f(x) = 1b-a; a ≤x≤b

13.11 Random numbers. If you ask a computer to generate “random numbers" between 0 and 5, you will get observations from a uniform distribution. Figure 13.12 shows the density curve for a uniform distribution. This curve takes the constant value 0.2 between 0 and 5 and is zero outside that range. Use this density curve to answer these questions. a. Why is the total area under the curve equal to 1? b. The curve is symmetric. What is the value of the mean and median? c. What percentage of the observations lie between 4 and 5? d. What percentage of the observations lie between 1.5 and 3? -height = 0.20

13.11 Random numbers. If you ask a computer to generate “random numbers" between 0 and 5, you will get observations from a uniform distribution. Figure 13.12 shows the density curve for a uniform distribution. This curve takes the constant value 0.2 between 0 and 5 and is zero outside that range. Use this density curve to answer these questions. a. Why is the total area under the curve equal to 1? b. The curve is symmetric. What is the value of the mean and median? c. What percentage of the observations lie between 4 and 5? d. What percentage of the observations lie between 1.5 and 3? -height = 0.20

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

Direction: Determine each of the following areas of specific regions under the normal curve using probability notation. Then show each of these regions graphically. 1. At most z = -1.5 2. At least z = -2
Section 5.1: Normal Distributions X~ N(center, st.dev.) Example 1: Find the specified areas for a standard normal density. The area below z = 0.8 The area above = 1.2 c. The area between z = -1 and z = 2
Subject: ste
4. Find the area of the standard normal distribution between z=-o.67 and z=0 5. Cheryl has taken two quizes in her history class. She scired 15 on the second quiz, fo which mean of all scores
1. The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean of 266 days and a standard deviation of 16 days. a. Draw the density curve for the normal distribution of pregnancy lengths. Mark and label the location the mean and three standard deviations above and below the mean. b. Answer the following questions using the density curve you drew for part a. It may help to shade relevant parts of the curve. i. What percent of the pregnancies last between 250 and 282 days? ii. What are the upper and lower bounds for the middle 95% of all pregnancy lengths? iii. What percent of the pregnancies last between 218 and 314 days? iv. What percent of the pregnancies last 266 days or fewer? v. What percent of the pregnancies last between 266 and 282 days? vi. What percent of the pregnancies last fewer than 250 days? vii. What percent of the pregnancies last between 234 and 314 days? viii. How long are the longest 2.5% of…
h 1 ces D by Oni 35. Probability and Statistics Normal Distributions For the following problems, use the information below. A normal distribution has a mean of 85 and a standard deviation of 10. 39) Find the range of values that represent the middle 68% of the distribution. OA) 65-105 OB) 75-95 Save Not Graded 40) Find the range of values that represent the middle 95% of the data. OA) 65-105 OB) 75-95 Save Not Graded 41) Find the range of values that represent the middle 99% of the data. OA) 65-105 OB) 55-115 Save Not Graded
which is the correct answer? mesokurtic distribution leptokurtic platykurtic None of these
Questions c, d and e.
Which of the following statements about Chebyshev's theorem is correct? B. Chebyshev's theorem states that all data points lie within three standard deviations of the mean in A. Chebyshev's theorem is only applicable to discrete distributions. any distribution. C. Chebyshev's theorem applies only to positively skewed distributions. D. Chebyshev's theorem applies to any distribution, regardless of its shape. E. Chebyshev's theorem is limited to normal distributions only. F. Chebyshev's theorem guarantees that at least 75% of data lie within three standard deviations of the mean in any distribution. 6. If a data set has a standard deviation of 18 and mean of 70, according to Chebyshev's theorem, what is the interval that must contain at least 19% of the data? A 50 to 90 3 B. 55 to 85 C. 20 to 80 D. 40 to 60 E. 35 to 65 F. None of the above Fina
Select all statements that are true for density curves. The curve is symmetric and single-peaked. The curve is on or above the horizontal axis. The proportion of data values between two numbers ?a and ?b is the area under the curve between ?a and ?b. The total area under the curve is 1. The curve satisfies the 68-95-99.7% rule.