Q. 4 Let X be a chi-square random variable with degree of freedom 6(a) Find the quantile Q(0.95) and Q(0.050);(b) Let Y be a gamma random variable with a =3 and ß =-Then find4P(3.28< X < 25.2).

Given, X be a random variable distributed as chi-square with 6 degree of freedom.

Answered: Q. 4 Let X be a chi-square random…

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

(a) What is the mean of 6W? (b) Assume that X and Y are independent. What is the variance of 6W? (c) Now assume that Cov(X,Y) = −1.7. What is the variance of 6W?
Suppose that X is a random variable for which the m.g.f. is as follows: M(t) = 1/4(3et+e-t), -∞<t<∞ Find the mean and variance of X.
Let Y be a binomial random variable with n = 10 and p = 0.3. (a) P(3 < Y < 5) = P(3 ≤ Y < 5) = (b) P(3 < Y ≤ 5) = P(3 ≤ Y ≤ 5) =
B5. Let X₁, X₂, ..., Xn be IID random variable with common expectation µ and common variance o², and let X = (X₁ + + X₂)/n be the mean of these random variables. We will be considering the random variable S² given by (a) By writing or otherwise, show that S² (b) Hence or otherwise, show that n S² = (x₁ - x)². = Ĺ(X₂ i=1 X₁ X = (X₁-μ) - (x-μ) = Σ(X; -μ)² - n(X - μ)². i=1 ES² = (n-1)0². You may use facts about X from the notes provided you state them clearly. (You may find it helpful to recognise some expectations as definitional formulas for variances, where appropriate.) (c) At the beginning of this module, we defined the sample variance of the values x₁, x2,...,xn to be S = 1 n-1 n i=1 ((x₁ - x)². Explain one reason why we might consider it appropriate to use 1/(n-1) as the factor at the beginning of this expression, rather than simply 1/n. B6. (New) Roughly how many times should I toss a coin for there to be a 95% chance that between 49% and 510/ of my nain toon land Honda?
For E (0,1) let Xp be a Geometric random variable with parameter p. (a) Find a value of p so that P(Xp> 2.5) = 9. (b) Let An be the event that Xp is even. Determine P(A,) in terms of p. (c) Suppose Y, is a random variable which is equal to the remainder after integer division of X, by 3. Let p = i, and determine the conditional probability mass function of conditioned on the event Yı = 1.
Bapu
A red die is rolled and then a green die. Let X=2(Spots on Red) + (Spots on Green). Determine the pmf for the random variable. In particular f(6)
da1.25 31 Ju Suppose that the number of accidents occuring on a highway each day is a Poisson random variable with parameter A =3. Then the probability that at least 1 accident occurs today is P({X21})=1-e3o P({X21})=e3 P({Xs1})=1-e3 P({Xs1})=e¯3 .Microso | a Google Chrome 1-EV ENG 4) O
Answer no. 1 only
Number 2
Let X be the random variable with PMF: p(x) = k(]x – 2|+ 1), for x= -2, -1, 0, 1, 2 0, elsewhere (a) Find the value of k (b)Find the PMF of X (c) Find the mean, variance, and the standard deviation of X
QI: Let x be random variable with the following (p.d.f): x20 f(x) = 0. W Find: 1. The constant C? 2. The c.d.f ? 3. P(10 f(x) = O. W 1. Write the moment generating function for X ? 2. Use this moment generating function to compute the first and second moments of X ? Q3: Suppose the (p.m.f) f the random variable X is 3 f(x) 0.2 0.1 0.4 0.3 Find: 1. The V(x)? 2. The E(4x) ? 3. The E(3x+2x)? Q4: Find the V(x) by using the mgf of the random variable x that has the pmf equal to 0.5 for x=-2 and x= 2 ? Q5: If X be random variable such that E[(X - 1)1 = 10, E[(X - 2)21 = 6, find V(x)? Q6: Given that has the following (p.m.f): f(x) = ;x = 0,1, 2, 3 Find the moment-generating function of this random variable and use it to calculate V(x) ? 07: Let x be random variable with the following (p.d.f): f(x) = 0. W Such that P(x < M (0)) Compute the value of b? %3D

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

Q. 4 Let X be a chi-square random variable with degree of freedom 6 (a) Find the quantile Q(0.95) and Q(0.050); (b) Let Y be a gamma random variable with a =3 and B = Then find 4 P(3.28 < X <25.2).