Question

Let x and y be discrete random variables with the range of X being (0,5) and the range of Y being (10,20). The joint pmf of X and Y is given by the following table (for example, P{X=0, Y=10} = 0.1): 10 20 0 0.1 0.2 5 0.3 0.4 determine the correlation coefficient of X and Y (you may use the fact that E[Y]= 16 and var(y)= 24.

Name: let x and y be discrete random variables with the range of x being 05 and the range of y being 1020 the joint pmf of x and y is given by the following table for example px0 y10 01 10 20 0 01 54917
Uploaded: 2023-11-26T03:39:27-08:00
Duration: 1 min 33 s
Channel: Breanna Ollech
Description: let x and y be discrete random variables with the range of x being 05 and the range of y being 1020 the joint pmf of x and y is given by the following table for example px0 y10 01 10 20 0 01 54917

          Let x and y be discrete random variables with the range of X
being (0,5) and the range of Y being (10,20). The joint pmf of X
and Y is given by the following table (for example, P{X=0, Y=10} =
0.1):
10
20
0
0.1
0.2
5
0.3
0.4
determine the correlation coefficient of X and Y (you may use
the fact that E[Y]= 16 and var(y)= 24.

Added by Gabrielle B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Breanna Ollech

11/26/2023

Step 1

For X: P{X=0} = 0.1 + 0.2 = 0.3 P{X=5} = 0.3 + 0.4 = 0.7 For Y: P{Y=10} = 0.1 + 0.3 = 0.4 P{Y=20} = 0.2 + 0.4 = 0.6 Now, we need to find the expected value of X, E[X], and the variance of X, var(X). E[X] = 0 * P{X=0} + 5 * P{X=5} = 0 * 0.3 + 5 * 0.7 = Show more…

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Let x and y be discrete random variables with the range of X being (0,5) and the range of Y being (10,20). The joint pmf of X and Y is given by the following table (for example, P{X=0, Y=10} = 0.1): 10 20 0 0.1 0.2 5 0.3 0.4 determine the correlation coefficient of X and Y (you may use the fact that E[Y]= 16 and var(y)= 24.