QUESTION 15For any continuous random variable X, P( X = 10) can be:O A. 1.O B. 1/10.O C. 1/2.O D. None of the above.QUESTION 16If the variance of X is small (e.g., 0.001), thenA. the value of X is close to E(X) with high probability.O B. X is a fixed number.OC. the value of X in any sample is always close to E(X).O D. none of the above.

As per company guidelines I solved only First questions ..thank you

Answered: QUESTION 15 For any continuous 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

Question 4 a) A bowl contains six white chips, three red chips and one blue chip. A chip is taken at random from the bowl. Let the random variable X = 1 if a white chip is chosen, let X = 5 if a red chip is chosen and let X = 10 if a blue chip is chosen. Find: i) The probability function f (x) of X. ii) The distribution function F(x) of X. iii) E(X). iv) E(3X² + 5). v) Var(X) b) A discrete random variable X has probability function f (x) = k(x + 1)²,x = 0,1,2. i) Find the value of k. ii) Find E (5X + 3), E (X²) and Var(3X – 2). c) The discrete random variable X represents the number of days spent by a certain 5-х patient in a hospital. The probability function of X is f(x) : -,x = 1,2,3,4. The 10 patient receives $200 from an insurance company for each of the first two days in hospital, and $100 for each day after the first two days. What is the expected amount received?
1. The random variables §, §1, §2,... are independent and identically distributed with 1/4 and P(§ = j) = c/j for j = 1,2,3. Let X₁ = 0 and Xn = max(§₁, ..., Èn) for n = 1, 2,.... distribution P(§ = 0) = (a) What value must c take? (b) Explain why {Xn, n = 0, 1, 2,...} is a Markov chain. (c) Write down the transition matrix. (d) Draw the transition diagram and classify the states (aperiodic, transient, re- current, eorgodic, etc). (e) Calculate P(Xn = 0). (f) Calculate P(X₁ = 3, X₂ = 1|X₁ = 3).
Q. 2 Suppose the following three boxes are given: Box A contains 3 red and 5 white mobile phones Box B contains red and 1 white mobile phones Box C contains 2 red and 3 white mobile phones A box is selected at random, and a mobile phone is randomly drawn from the box. If the mobile phone is red, find the probability that it came from the box A.
Chapters: Normal and Exponential random variables. Q: There exist naturally occurring random variables that are neither discrete nor continuous. Suppose a group of people is waiting for one more person to arrive before starting a meeting. Suppose that the arrival time of the person is exponential with mean 4 minutes, and that the meeting will start either when the person arrives or after 5 minutes, whichever comes first. Let X denote the length of time the group waits before starting the meeting. - a. Find P(0
Question 7: Let X be a random variable such that E(X – 2)² = 10 and E(X+1)² = 4, then а. Е(X) b. Е(X) %3D с. Е (X) %3D d. E(X) =
So 3 Let the random variable X shows the number of tires on a randomly selected automobile that are under inflated. The pmf of X is given by; P(x) 0.4 0.1 0.1 0.1 0.3 P(2 SXS 3)=? Oa 02 Ob 0.5 Oc 07 Od. 03 Oe 0.1
Solve the following 1. If the joint probability distribution of X and Yis given by x+y f(x, y) for x = 0,2,3; y = 0,1,2 30 Find
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).
3. 7 8. 10 An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is tht, then R (tht)=2. Suppose that the random variable X is defined in terms of R as follows: X=R-1. The values of X are given in the table below. tth hht hth thh ttt hhh htt tht Outcome Value of X 1 - 1 1 1 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X Px (x) Submit A Continue © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center étv MacBook Air DII DD F10 80 F9 F7 F8 F6 F4 F5 F2 F3 公云。 olo
. Let X and Y be random variables and let AE B. Prove that the function X(w), if we A, Y(w). if w€ AC is a random variable. Z(w) =
Question 1: The CDF of the continuous random variable V is 0...... ...V 7 1. а. What is E[v]? b. What is Var[v]? С. What is E[v?]?

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

QUESTION 15 For any continuous random variable X, P( X = 10) can be: O A. 1. O B. 1/10. O C. 1/2. O D. None of the above.