Question

Below is a trivariate probability mass function, P(X, Y, Z). Enter the density into R as an array and include the dimension names and element labels. Use the apply( ) function and the [ ] to find the following probabilities and distributions. X Z Y 10 20 30 0 1 .03 .25 .11 -1 .01 .07 .03 1 1 .04 .23 .11 -1 .01 .08 .03 (a) P (X = 20, Y = -1, Z = 0) (b) P (X ? 20, Y = -1) (c) P(X) (d) P (X, Z) (e) P(X|Y, Z)

          Below is a trivariate probability mass function, P(X, Y, Z). Enter the density into R as an array and include the dimension names and element labels. Use the apply( ) function and the [ ] to find the following probabilities and distributions.

X
Z Y 10 20 30
0 1 .03 .25 .11
-1 .01 .07 .03
1 1 .04 .23 .11
-1 .01 .08 .03

(a) P (X = 20, Y = -1, Z = 0)
(b) P (X ? 20, Y = -1)
(c) P(X)
(d) P (X, Z)
(e) P(X|Y, Z)

Below is a trivariate probability mass function, P(X, Y, Z). Enter the density into R as an array and include the dimension names and element labels. Use the apply( ) function and the [ ] to find the following probabilities and distributions.

X
Z Y 10 20 30
0 1 .03 .25 .11
-1 .01 .07 .03
1 1 .04 .23 .11
-1 .01 .08 .03

(a) P (X = 20, Y = -1, Z = 0)
(b) P (X ? 20, Y = -1)
(c) P(X)
(d) P (X, Z)
(e) P(X|Y, Z)

Added by Jes-S C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ameer Said

02/24/2022

Step 1

It appears that the PMF is defined for a trivariate distribution of random variables X, Y, and Z, but the question text seems to have some formatting issues. Assuming Z is fixed at 2 and the values provided are for different combinations of X and Y, we'll proceed Show more…

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Below is a trivariate probability mass function, P(X, Y, Z). Enter the density into R as an array and include the dimension names and element labels. Use the apply( ) function and the [ ] to find the following probabilities and distributions. (a) P (X = 20, Y = -1, Z = 0) (b) P (X ≥ 20, Y = -1) (c) P(X) (d) P (X, Z) (e) P(X|Y, Z)