1. A Random Variable X can take only two values, 1 and 2 .P(1) = 0.8 and P(2) = 0.2Calculate the Expected value of X.2. A Random Variable X can take only two values, 1 and 2. P(1) = 0.8 and P(2) = 0.2Calculate the Variance of X3. A lottery that pays off 100,000 pesos is made available for 5,000,000 tickets. Each ticketcosts 50 pesos. Suppose the variable X gives the net winnings from playing the lottery.What is the expected gain for joining the lottery with only one ticket?4. In a deck of cards which consists of cards numbered 1 to 5, a card is drawn randomly. Aplayer wins 35 pesos if the number on the card is odd and loses 35 pesos if the numberon the card is even. What is the expected value of his winnings?

Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: 1. A Random Variable X can take only…

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

Really need it to study, please don't copy the answers from others.
Find variance of Y1
Please be specific.
Suppose you have a sample of 9 observations Y1,...,Y, from a normal population with mean 2 and variance 4. Let Y and S denote the sample mean and sample variance, respectively. What is the distribution of E ( (a) (b) 653 (c) Suppose X1,X2, X3, X4, X5 are independent random variables from a normal population with mean 0 and variance 4. Define S3 = E(X, - X). What is the distribution of 253 + S3?
A4. If random variables X and Y each have variance o? = 3 and corr(X,Y) = 0.4, what is the value of Cov(3X – 1, 2Y + 2)?
# Consider a random variable X with the expected value of 5 and E (X²) = 40. Calculate the variance of X. 15 i 9
In game of roulette, a player can bet on the 1/38 probabilty of metal batt landa on 1the player gets to keep the paid to play the game and the player is awarded an additional 140 Otherwise, the player is awarded nothing and the casino takes the player's $4. Find the expected value E(x) to the player for one play of the game to player in a game of chance, then E(x) is negative. This value gives the average amount the player can expect to lose.
Assume X and Y are independent random variables with X ~ Binomial(n =100, p = 0.2) and Y ~ Pascal(m =16, p = 2/3) . Find the indicated expected value and variance. a. E(3X + 2Y +1) b. Var(3X + 2Y +1)
Two random variables X and Y have means X = 1 and Y=2, variances o=4 and o X and Pxy = 0.4. New random variables W and V are defined by V =−X+2Y and W = X +3Y. Find (a) the means, (b) the variances, = 1,
Show that E(p) =p where p = , the probability of success for a binomial random variable X. What does this say about the estimator p?
Assume that a random variable Y has a mean of zero and standard deviation of one. Calculate the expected value of X1 and X2 if they are defined as below. X1 = Sigma+ Mu X2 = Sigma(Y+Mu)
If two loads are applied to a cantilever beam as shown in the figure below, the bending moment at 0 due to the loads is a₁X₁ + a2X₂. X1 21 Suppose that X₁ and X₂ are independent random variables with means 3 and 5 kips, respectively, and standard deviations 0.4 and 1.1 kips, respectively. Suppose that a₁ = 6 ft and a2 = 12 ft. (a) Find the expected value of the bending moment. (b) Find the standard deviation of the bending moment. (c) If X₁ and X₂ are normally distributed, what is the probability that the bending moment will exceed 92 kip-ft?

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

1. A Random Variable X can take only two values, 1 and 2 .P(1) = 0.8 and P(2) = 0.2 Calculate the Expected value of X.