Referring the cell corresponding to the and , the joint probability for is:
Hence, option-A is the correct answer.
Question 10 Using the joint probability table below, determine P(X = 1, Y = 7). 3...
Using the joint probability table below, determine P(X=0 [Y=5). 3 х 10 0.05 0.15 0.05 1 10.15 0.3 0.15 Y 1 0 0.05 0.1 5 7 a. 0.75 b.0.35 C. 0.15 d. 0.03 e. 0.3
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.
QUESTION 26 Using the Binomial Probability formula below, find PCX)when n 10, X -7,p 0.45, and q 0.55. n! O A. .0746 O B..0080 O C..0037 O D..1665 QUESTION 27 using the Binomial Probability table, find P(X) when n # 17, X# 10, and p-0.3 ○ A. 0.1 20 O B. 0.013 ° C. 0.009 ○ D. 0.225
The table below gives the joint probability mass function of a pair of discrete random variables X and Y. Pxr(x,y) 12 3 P) 10.30 0.05 0.15 2 0.10 0.05 0.35 px(x) Complete the marginal distributions in the table above. . Are X and Y independent? Yes Check
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.
Determine whether the table represents a discrete probability distribution. x P(x) 5 0.45 6 0.35 7 0.35 8 0.35
The following table presents the joint probability mass function pmf of variables X and Y 0 2 0.14 0.06 0.21 2 0.09 0.35 0.15 (a) Compute the probability that P(X +Y 3 2) (b) Compute the expected value of the function (X, Y)3 (c) Compute the marginal probability distributions of X and )Y (d) Compute the variances of X and Y (e) Compute the covariance and correlation of X and Y. (f) Are X and Y statistically independent? Clearly prove...
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)
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...