9239370940Q1.A) (i)Let X be the mean of a random sample of size n= 36 from a population with mean u- 20074957and standard deviation o=6= 15PCス7204)n-36M. 20015. Find P(X > 204).%3DPCZY204-200(11) Let {X1,X2,X3} be a random sample from the continuous uniform distribution over [1, 3]. Let36X(1) S X(2) S X(3)} be the corresponding order statistics. Find P(X(1) > 2) and P(X(3) < 1.5).%3D=.9452

Z =(Xbar-mu)/sigma/sqrt(n) We want to find the probability P(X(1)>1/2)= ? P(X(3)>1.5)= ?

Answered: 6= 15 N-36 A) (i)Let X be the mean of 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

When dealing with an unbiased estimator of population variance how should we define S^2?
please state the approximate distribution of the sample mean
A model for normal human body temperature, X, when measured orally in °F, is that it is normally distributed, X ~ N (98.2,0.5184). (i) According to the model, what proportion of people have a normal body temperature of 99 °F or more? (ii) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (iii) Let W denote normal human body temperature, when measured orally in °C. Given that W = (X - 32) and X ~ N(98.2,0.5184), what is the distribution of W? (iv) According to the model that you just derived for W, what proportion of people have a normal body temperature of between 36 °C and 36.8 °C?
Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
The useful life of a concrete built on the seashore has a Weibull distribution of parameter scale δ> 0 year and power β = 2. Determine a) The half life of concrete EXb) The variance VXc) The probability that the concrete lasts more than 10 years; P (X> 10)
Weights of Lamb after eight weeks after born are normally distributed with mean µ = 14 kg and variance σ 2 = 4. a)Find the probability p that a single lamb has weight less than 12 kg. b) Find the probability that exactly 3 of the next 5 lambs examined will have weights less than 12 kg.
What is the variance and standard deviation for the number of times the SAT is taken? x Frequency (f) fx f*x2= (f*x) x (x) (4) = (3)x(1) 5152727-(2547473)(2547473)/1518859=880035.3688/1518859=0.5794 (1) (2) (3)=(1)x(2) (4)=(3x1) Population Variance 1 721,769 721,769 721,769 2 601,325 1,202,650 2,405,300 3 166,736 500,208 1,500,624 4 22,299 89,196 356,784 5 6,730 33,650 168,250 Total 1,518,859 2,547,473 5,152,727 880035.3688 0.5794 n=1,518,859 ∑fx = 2,547,473 The population variance is 0.5794 The Standard Deviation? 0.76 Can you show me the steps to reach the standard deviation of .76 ?
If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time, if X has a gamma distribution with a mean of 2 and a variance of 2? (just set up the equation in itssimplest form)
Q4: Let i denote the mean of a random sample of size 25 from a gamma type distribution with a = 4 and p > 0. Then 1. 1. E(x) = 48 and Var(x) = 48² O True O False 2. I~N (4B, 4B²) 25 2. O True O False
Ch: Estimating Random Variables Q: The beta distribution plays an important role in Bayesian statistics. It has two parameters, called shape parameters. Let X and Y be independent uniform random variables on the interval [0,1]. Estimate via simulation the pdf of the maximum of X and Y and compare it to the pdf of a beta distribution with parameters shape1=2 and shape2=1. Use 'dbeta()'. (use R-code)
Suppose X1, ..., Xn have been randomly sampled from a normal distribution with mean 0 and unknown variance sigma^2, and let U = c * i=1 -> n summation (X_ i)^2 , where c is a constant. Find the value of c that minimises the Mean Squared Error (MSE)
Let's draw chance samples with a width of n1 = 10 from a population showing a normal distribution with a mean of 50 and a variance of 64, and a width of n2 = 9 from a population with a mean of 40 and a variance of 81 showing a normal distribution. If X'1 and X'2 show the sample averages, respectively, then what is the probability P |(X'1 - X'2)> 5| ? (X' = X bar)

SEE MORE QUESTIONS

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