The distribution laws of random variables X and Y are given:X-2P0.300.120.440.2YPFind the distribution law of random variable z =(The answer is the expected value).20.1100.93X +4 and calculate its expected valueY

The given tables: X -2 0 2 4 P 0.3 0.1 0.4 0.2 Y 2 10 P 0.1 0.9 The random…

Answered: The distribution laws of random…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The probability distribution of the number of students absent on Mondays, is as follows: X O 1 2 3 4567 f(x) 0.02 0.03 0.26 0.34 0.22 0.08 0.04 0.01 (a) What is the probability that more than 3 students are absent. (b) Compute the expected value of the random variable X. Interpret this expected value. (c) Compute the variance and standard deviation of the random variable X. (d) Compute the expected value and variance of Y : (e) Compute the covariance Cov(X, Y) = 7X+ 3. (f) What is the value of the ratio Cov(X,Y)/Var(X) ? (g) What is the value of Cov(X, Y)/Var(X) for Y = ß0 + ß₁X ? (For this exrcise, you can use excel. No need to show all calculations, just specify the formulas and present the final values.) (a) (b) (c) (d) (e) (f) (g)
Probability
The joint probability distribution of variables X and Y is shown in the table below, where X is the number of tennis racquets and Y is the number of golf clubs sold daily in a small sports store. X 1 0.13 0.08 0.22 Y 1 0.16 0.14 0.03 2 0.07 0.04 0.13 What is the expected value of X? а. 1.02 O b. 0.36 О с. 0.26 O d. 1.85
A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X Y 0 1 2 3 0 k 0.03 0.01 0.03 1 0.01 0.04 0.04 0.05 2 0.03 0.02 0.04 0.68 What is the expected total number of staff (waiters and chefs) that will show up on any given day?
Solve A through H please
IV. Evaluation A researcher surveyed about the senior citizens in a small town infected by COVID-19. The random variable X represents the number of senior citizens infected by COVID-19 every week in a whole month. x 0 1 2 3 P(x) 0.10 0.30 0.35 0.25 1. What is the expected number of citizens infected by COVID-19 every week during the whole month? 2. Illustrate and calculate, in tabular form, the variance and standard deviation of the random variable X.
Hi, I need help with this problem.
The probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0)(b) P(X ≤ 0)(c) P(-1 < X ≤ 4)(d) P(X ≥ 1)
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. x: 15 0 24 28 15 17 36 −9 −16 −16 y: 21 −8 27 10 10 27 22 −2 −3 −1
The joint distribution of the pair of random variables as given in the following table: 0 Y 1 2 -10 X 0 0.1 0.2 0.1 0 10 0.2 0 0.1 0.1 0.2 What is E(X | Y > 0)? -3.33 0.000 -4.00 3.33 -2.00 No answer
Two independent random variables are defined with the following distributions: Xp Y p 1 0.5 1 0.2 2 0.2 2 0.2 3 0.3 4 0.6 (a) Determine the PDF of the sum of X and Y using convolutions. (b) Determine the mean and variance of the sum by treating the result as the sum of two independent random variables.
If the random variable X denotes the real valued outcomes given in the following table with the given frequency of occurrence of each of the outcomes, fill in the last line of the table and find the expected value of X. Outcome -2 -1 0 1 2 Frequency 22 29 18 12 20 P(X) E(X) =

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

The distribution laws of random variables X and Y are given: X -2 Y P 0.3 P 0 0.1 2 0.4 4 0.2 Find the distribution law of random variable (The answer is the expected value). Z = 2 0.1 3X + 4 Y 10 0.9 and calculate its expected value