A continuous random variable X has a pdfof the form: f(x) = (620/801) x^3, for 0.42<X<1.51. Calculate the standard deviation(sigma) of X.Your answer:0.277O 0.6790.3200.4440.9990.731O 0.2380.822O 0.3830.268

Answered: Image /qna-images/answer/a402f655-2a05-4245-b25b-60a1db839b20.jpg

Answered: A continuous random variable X has a…

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

Suppose the lengths of human pregnancies are normally distributed with u = 266 days and 0 = 16 days. The area to the left of X = 245 is 0.0947. What is the probability that a randomly selected human pregnancy lasts
9.5 Standard error of the mean. A random sample from a certain population has I = -44.6, s = 6.02, and n = 25. It is planned to conduct a test of Ha : µ << -40. (a) What is the null hypothesis in this case? (b) Do the summary statistics give some evidence that Ha is true? (c) Compute the estimated standard error of the mean, SEM= s/Vn. (d) Would it be surprising if Ho were true? Answer "yes" or "no," using two SEMS as the threshold of surprise. 35
Find the standard deviation, s, of sample data summarized in the frequency distribution table given below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 9.0. SE n[Σ(f•x)] - [Σ«•x] n(n-1) Interval Frequency Standard deviation = 30-36 2 (Round to one decimal place as needed.) 37-43 18 C 44-50 43 51-57 21 58-64 9 65-71 5 D
A random sample of size n1 = 15 is selected from a normal population with a mean of 75 and a standard deviation of 9. A second random sample of size n2 = 9 is taken from another normal population with mean 69 and standard deviation 15. Let X1 and X2 be the %3D two sample means. Find: (a) The probability that X - X2 exceeds 3. (b) The probability that 4.9 < X – X2 < 5.9. Round your answers to two decimal places (e.g. 98.76). (a) i (b)
Q1: Lifetimes of a certain component are lognormally distributed with parameters u = 1 day and o = 0.5 days. Find the mean lifetime of these components. 1-Find the standard deviation of the lifetimes. 2-Find CDF 3- Find reliability at t= 4 day
This exercise requires the use of a graphing calculator or computer programmed to do numerical integration. The normal distribution curve, which models the distributions of data in a wide range of applications, is given by the function 1 p(x) = e (x - 1)?/(202), V 2n 0 where n = 3.14159265... and o and u are constants called the standard deviation and the mean, respectively. Its graph (for o = 1 and u = 2) is shown in the figure. f(x) 0.3 0.2 0.1 3 4 5 With o = 3 and u = 0, approximate p(x) dx. (Round your answer to four decimal places.)
The Volatility X for the S&P stock index on a given day is a normal random variable with mean = 10 and standard deviation = 2 The volatilities recorded over a 100-day period on the S&P500 are Y1, Y2, ... Y100. Assume that these Yi's are independent and identically distributed, uniform on the interval [5,15]. Let V = (Y1 + Y2 + ... + Y100)/100. What approximately is P[9.5 < V < 10.5]?
The lifetime, in hours, of a head gasket of a cylinder in a car engine is distributed as lognormal with parameters a = 10.328 and ß = 1.575. (a) Determine the mean. 105694.96120 (b) Determine the standard deviation. 349732.63296 (c) Find the probability that the lifetime of the head gasket is between 5748 and 8435 hours.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

A continuous random variable X has a pdf of the form: f(x) = (620/801) x^3, for 0.42< X<1.51. Calculate the standard deviation (sigma) of X. Your answer: O 0.277 O 0.679 O 0.320 O 0.444 O 0.999 O 0.731