The joint probability distribution of two random variables X, Y is given in the table below.Y=-4 Y=0 Y=1_Y=4X=-4 0.01 0.18 0.00 0.13X=-1 0.030.08 0.20 0.14X=40.00 0.08 0.09 0.06From the information in the table, calculate each of the following three probabilities.(a) P(Y= -4) = |(b) Р (х < -1, ү 2 0) %3D0(c) P(x< 5) = []

Answered: The joint probability distribution of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40 .10 Which one of the following correctly gives the value of the mean and standard deviation of X? OH = 0.5, o = 37.5 OH = 2.25, o = 37.25 OH = 0.5, o = 6.10 OH= 2.25, o = 6.10 OH= 0.5 o = 37.25
The following table gives the probability distribution of a discrete random variable x. 1 2 3 4 5 6. P(x) 0.13 0.18 0.29 0.15 0.13 0.09 0.03 Find P(x < 2).
The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=1 Y=2 X=-4 0.03 0.00 0.08 X=0 0.27 0.14 0.06 X=3 0.20 0.16 0.06 From the information in the table, calculate each of the following three probabilities. (a) P(X> -4) = [ (b) P(Y = 2) = [] (c) P(X > 0.Y < 1) = 1 Check Explanation ALEKS - Britney Fri.
The joint probability function of random variables X and Y is given in the table below. Show that X and Y are uncorrelated, but not independent. x = 0 2 4 y = -1 .1 .1 CamScanner 0 .1 .2 .1 1 .1 .1 .1 ECUS=
Suppose X is a discrete random variable with the following probability distribution: P(X = 2) = 0.3 P(X = 4) = 0.2 P(X = 6) = 0.5 What is the expected value (mean) of X?
The joint probability distribution of two random variables, X and Y, is given in the table below. Y=-3 Y=1 Y=3 Y=4 X=-4 0.15 0.01 0.00 0.17 X=-1 0.12 0.04 0.13 0.00 X=2 0.01 0.18 0.00 0.19 From the information in the table, calculate each of the following probabilities. Round your answers to two decimal places. (If necessary, consult a list of formulas.) (a) Given that X=-1, compute the probability that Y= 1. (b) Given that X> -1, compute the probability that Y<3. Explanation Check ALEKS - Britney Fri.
The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. p(x, у) 1 2 0.015 0.010 0.025 1 0.030 0.020 0.050 2 0.075 0.050 0.125 3 0.090 0.060 0.150 4 0.060 0.040 0.100 0.030 0.020 0.050 (a) What is the probability that there exactly one car and exactly one bus during a cycle? (b) What is the probability that there is at most one car and at most one bus during a cycle? (c) What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) P(exactly one bus) = (d) Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three cars. What is the probability of an overflow during a cycle? (e) Are X and Y independent rv's? Explain. Yes, because p(x, y) = Px(x) · Py(y). Yes, because p(x, y) ± Px(x) · py(y). No, because p(x, y) = Px(x) · Py(Y). No, because p(x, y) # Px(x) · Py(y).
The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07, 0.36, 0.21, 0.19, 0.10, 0.07 Calculate P(x >= 3.0) a. 0.57 O b. 0.19 O C. 0.83 d. 0.47 O
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Suppose the pmf of a random variable X is as given in the accompanying table. What is the probability that X < 3? 3 0.2 6. 0.1 p(x) 0.3 0.4 Select one: a. 0.3 b. 0.8 C. 0.9 d. 0.5 e. 0.2
Suppose X is a random variable with possible values -2,3 and 1 and with respective probabilities 0.22, 0.35, and 0.43 then the mean and standard deviation of X, respectively, are: Q a. 1.04 and 0.3733 O b. 1.04 and 1.876 O c. 1.04 and 1.838 O d. 0.667 and 1.876 O e. 0.667 and 0.3733

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