Using the joint probability table below, determine P(X=0 [Y=5). 3 х 10 0.05 0.15 0.05 1...
Question 10 Using the joint probability table below, determine P(X = 1, Y = 7). 3 | 5 7 0.15 0.050 0.3 0.15 0.05 0.15 0.05 0.1 a) 0.1 b) 0.3 c) 0.45 d) 0.15 e) 0.35 f) None of the above.
Using the joint probability table below, determine the marginal distribution of 0 0.150.050.15 0.1 0.150 70.3 0.050.05 P(X)0.150.050.15 P(X)0.3 0.05 0.05 c) P(X)0.55 0.250.2 d) P(X)0.35 0.25 0.4 e) ONone of the above.
The random variable X and Y have the following joint probability mass function: P(x,y) 23 0.2 0.1 0.03 0.1 0.27 0 4 0.05 0.15 0.1 a) Determine the marginal pmf for X and Y. b) Find P(X - Y> 2). c) Find P(X S3|Y20) e Determine E(X) and E(Y). f)Are X and Y independent?
1. Consider a discrete bivariate random variable (X,Y) with the joint pmf given by the table: Y X 1 2 4 1 0 0.1 0.05 2 0.2 0.05 0 4 0.1 0 0.05 8 0.3 0.15 0 Table 0.1: p(, y) a) Find marginal distributions of X and Y, p(x) and pay respectively. b) Find the covariance and the correlation between X and Y.
You are given the probability distribution below: x 0 1 2 3 4 p(x) 0.05 0.35 0.25 0.20 0.15 Determine the standard deviation of X. Report your answer to three decimal places.
х 0 1 P(x) 0.15 0.05 0.25 0.55 2 3 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places Submit Question
2. Let X and X be two random variables with the following joint PMF Yix 2 0 2 0 0.1 0.05 0.05 0.15 0.1 0.05 0.1 0.05 0.05 0.05 4 0.05 0.05 0.02 0.1 0.03 total 0.2 0.2 0.12 0.3 0.18 total 0.45 0.3 0.25 1 1) Find E[X] and E[Y]. (10 points) 2) What is the covariance of X and Y? (20 points) 3) Are X and Y independent? Explain. (10 points)
Let X and Y have the following joint distribution: X/Y -1 1 0 0.2 0.15 2 0.1 0.2 4 0.25 0.1 a) Find the probability distributions for X and Y b) Find E[X] and E[Y] c) Find the probability that X is larger than 1 d) Find E[XY]
1. The joint probability density function (pdf) of X and Y is given by fxy(x, y) = A (1 – xey, 0<x<1,0 < y < 0 (a) Find the constant A. (b) Find the marginal pdfs of X and Y. (c) Find E(X) and E(Y). (d) Find E(XY). 2. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3...
x P(x) 0 0.3 1 0.15 2 0.05 3 0.5 Find the mean of this probability distribution. Round your answer to two decimal places.