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 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 probability distribution of random variable X is given as follow: 2 3 4 5 f (x) 0.41 0.37 0.16 0.05 0.01 0.00 Find the mean of X? E(X) = ?
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
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
The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=2 Y=4 X=-4 0.02 0.14 0.13 X=-2 0.05 0.01 0.05 X=-1 0.09 0.00 0.11 X=1 0.12 0.15 0.07 X= 3 0.06 0.00 0.00 From the information in the table, calculate each of the following three probabilities. (a) P(Y> 2) = [ (b) P(X < 1,Y = 2) = | (c) P(Y< -3) = [] I Don't Know Submit O 2022 to search ALEKS - Britney Fri.
Each unit of a product produced and sold earns a profit of $ 50 and un- $ 30. The probability distribution is given below : sold units result into a loss of Units Demanded : 1 2 3 0.3 Probability () Compute how many units should be sold to earn maximum profit, and (i) Calculate EPPI and EVPI. : 0.2 0.2 0.25
Assume that 12 jurors are randomly selected from a population in which 76% of the people are Mexican- Americans. Refer to the probability distribution table below and find the indicated probabilities. P(a) 0+ 1 0+ 0+ 0.0003 4. 0.0018 0.0092 6. 0.034 7 0.0924 8 0.1828 9. 0.2573 10 0.2444 11 0.1407 12 0.0371 Find the probability of exactly 5 Mexican-Americans among 12 jurors. P(x = 5) = 0.0092 Find the probability of 5 or fewer Mexican-Americans among 12 jurors. P(x < 5) = 3205 Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? yes O no Question Help: O Message instructor Submit Question 12 MAR tv 19 MacBook Air 11 F4 F5 F7
The joint probability distribution of the random variables X and Y is given below: ? (?, ?) = ???, 0 <? <2, 0 <? <? 0, other a. Find the value of the constant. b. Calculate and interpret the covariance and correlation of the X and Y random variables. c. Calculate the expected value and variance of the random variable ? = 2? − 3? + 2.
The joint probability distribution function of X and Y is given by: 1 2 3 1 0.05 0.06 0.10 X 2 0.13 0.21 0.30 a. Find the conditional distribution of Y given X = 1 b. Find the conditional distribution of X given Y = 2 5 0.02 0.03 0.10
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

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