13.It is given that5P (A¬A2) =, P (A2) = -1P (A, + A2) = ?,6'Show that the events Aj and A2 are independent.

Answered: Image /qna-images/answer/e8624561-81a7-4fba-91ec-8d1ac6b09175.jpg

Answered: 13. It is given that 1 P (A, + A2) = 6'…

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

4. In professor Shankar's quiz, the time taken to complete the quiz is a random variable with a pdf £x (x) = 20 = exp(-26 ) ₁ x 20² 20 1₂x ≥0 What is the average time for completion? If there are 50 students in the class, what is the probability that at least 20 of them will complete the quiz in less than the average? What is the probability that exactly 35 students complete within the average time.
P,Q are independent events
Consider the probability distribution for the number of red balls when 4 balls are selected at random from a box consisting of 5 red balls and 4 purple balls. Let the random variable X represents the number of red balls. a) Find F(0) b) Determine P(X≤3) c) Determine P'(X≤4) d)Determine P'(5) e) What is the value of random variable X if F(x) = 9/14?
4. Suppose we have random variables W and Q, and we know Var(W) = 25, Var(Q) = 10, and Cov(W, Q) = 2. Now, let A = 2W + 4Q. What is Var(A)?
For two events, M and N, P(M)= 0.6, P(N|M) = 0.2, and P(N|M')=0.7. Find P(MIN'). P(MIN') = (Simplify your answer. Type an integer or a fraction.)
IT HAS BEEN FOUND THAT A FLUCTUATING ELECTRIC CURRENT X AT ONE OF THE ESKOM SUBSTATIONS HAS A UNIFORM PROBABILITY DISTRIBUTION, f(x) = a≤x≤b otherwise a+b (b-a)² WITH E(X) = AND Var (X) = 12 AS THE STATISTICIAN AT ESKOM AND HAVE BEEN GIVEN A RANDOM SAMPLE OF 7 MEASUREMENTS X₁, X₂,,X, OF THE ELECTRIC CURRENT TO INFER ABOUT THE MEAN FLUCTUATION OVER A SPECIFIC PERIOD. AFTER CAREFUL CONSIDERATION YOU HAVE IDENTIFIED THREE POSSIBLE ESTIMATORS 0₁ = X₁+X7, 0₂ = X₁ +2X₂+X AND 3 = X 3 Show which of the estimators possess this property
20
1. The events A and B are such that P(A) = 1/3, P(A'|B) = ¼/4, and P(AUB) = ½. Find a) P(A'nB). Ans: 1/6 b) P(B). Ans: 2/3
If P(B) = ² and P(A'^B) = 12, for two events A and B, find P(A/B).
If A and B are events for which P(A U B) = 1,then P(A' U B') = a) 1 b) Р(А') + P(В") c) P(A) + P(Β') - 1 d) 0 e) P(A') + P(B') – P(A') · P(B')
10. Two random variables X and Y take on the values i and 2 with probability 1/2' (i = 1,2, ...). Show that the probabilities sum to one. Find the expected value of X and Y.
24. Gaussian random variables X, and X,, for which, X, = 2, o = 9, X, =-1, ox, = 4 and Cxx, =-3, are transformed to new random variables Y, and Y, according to जापर डेरें| Y, =-X, + X, Y, =-2X,- 3X, (iii) Cy,Cy, .. Find

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

13. It is given that 1 P (A, + A2) = 6' P (A,42) = P (Ã) = Show that the events Aj and A2 are independent.