The moment-generating function of a random variable X is given by0.4ett<- ln(0.6).1-0.6et¹(a) Give the name of the distribution of X (if it has a name).M(t) ==(b) Find the values of µ and o² for X. (Note: No need to derivethe name of the distribution.)(c) Calculate P(X ≥ 2).fland o2 if you know

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Answered: The moment-generating function 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

[Q1] The probability distribution of the discrete random variable X is: f(X) = k23-* , for x = 4,5, 6, 7 (a) Find: • the value of the constant k. • The mean E (X). • The variance Var(X). (b) Sketch F(X).
V is a normal Gaussian random variable. P = (V-1)² d. Find the PDF of P. e. Find the expected value of P.
Find the value of k which make the following function a pdf (15 y - 2 sys0 64' 64 fW) ={ 3 + ky 0 < y< 3 8 elsewhere What is the P(-1 < Y S 2)? Find the cumulative distribution function of Y. Find the variance of Y.
Please answers the last three questions The random variables ξ, ξ1, ξ2, . . . are independent and identically distributed with distribution P (ξ = 0) = 1/4 and P (ξ = j) = c/j for j = 1, 2, Let X0 = 0 and Xn = max(ξ1, . . . , ξn) for n = 1, 2, . . .. What value must c take? Explain why {Xn, n = 0, 1, 2,..... } is a Markov Write down the transition Draw the transition diagram and classify the states (aperiodic, transient, re- current, eorgodic, etc). Calculate P (Xn = 0). Calculate P (X4 = 3, X2 = 1|X1 = 3).
Answers for a, b and c
Suppose the random variable X has the following PDF: 2 √2π This distribution is often called half-normal. Find E(X) and V(X). f(x) = , for x > 0.
Let Y be a random variable with pdf f(y)=(3/64)y2(4-y), Osys4, zero elsewhere. Match the following. A. 0.31 B. 12.2 C. 16 D. 2.40 E. 0.64 select 1. E(Y)= select 2. V(Y)= select 3. Let X=3Y+5= E(X)= select 4. Let Z-5Y+3= V(Z)= select 5. P(YS2)3
Given that X has the probability distribution f(x) = 1 for r 0, 1, 2,3, and 4. 16 Find the moment-generating function (MGF) of this random variable. Use the MGF to determine p. ' Use the MGF to determine u.
Answer accurately.
a.2 b.-1 c.0 d.-2 e.1
Assume that McDonalds can serve a customer's order in X minutes after the customer enters the fast food chain. The PDF of the random variable X is shown as: 0.1 10 Moreover, assume that the customer can finish the food Y minutes after it is served, independent of the serving time. The PDF of the random variable Y is shown as: i. ii. |fx(x) 0.1 fy(y) fy(y) = 0.1e-0.1y 50 Let Z = X + Y be the total amount of time that the customer stays inside the fast food chain. 15 20 What is the probability that the customer stays within McDonalds for at most 18 minutes, i.e. P(Z < 18)? What is the expected value (in minutes) that the customer stays within the fast food chain?
The mean of the random variable X is ux = 38 and the coefficient of variation is Vx = 0.37. Let Z be the standard form of X. If the result of an experiment is X = 4, what is the corresponding value of Z? QUESTION 8 If the cumulative distribution function for X is Fx(x) function, and it has to return an angle in radians, not degrees. 1 1 +tan (a*), what is P(0 < X < 1.20)? Note that tan 1 is the arctangent 2

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

The moment-generating function of a random variable X is given by 0.4et t<-In(0.6). 1-0.6et' (a) Give the name of the distribution of X (if it has a name). M(t): = (b) Find the values of u and o² for X. (Note: No need to derive μ the name of the distribution.) fl and o