= 4.) (a) Describe the distribution of X. It might help to draw a 6 x 6 array to think about S and X. (b) Describe the distribution of Y. It might help to draw a 6 x 6 array to think about S and X. (c) Compute P(X = 7) and P(X > 7).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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(4) Suppose you roll a pair of fair dice, each with sides labeled 1, 2, 3, 4, 5, 6.
Let X denote the sum of the numbers showing on the two dice.
Let Y denote the larger of the two numbers showing on the two dice.
(i.e. If the roll is (3, 5), then X :
Y = 4.)
8 and Y = 5. If the roll is (4, 4), then X = 8 and
(a) Describe the distribution of X. It might help to draw a 6 x 6 array to think about
S and X.
(b) Describe the distribution of Y. It might help to draw a 6 x 6 array to think about
S and X.
(c) Compute P(X
7) and P(X > 7).
= 3) and P(Y < 3).
(d) Compute P(Y:
(e) Compute P(X = 7|Y = 3) and P(X = 7|Y = 6).
(f) Are the events {X = 7} and {Y = 6} independent?
Transcribed Image Text:(4) Suppose you roll a pair of fair dice, each with sides labeled 1, 2, 3, 4, 5, 6. Let X denote the sum of the numbers showing on the two dice. Let Y denote the larger of the two numbers showing on the two dice. (i.e. If the roll is (3, 5), then X : Y = 4.) 8 and Y = 5. If the roll is (4, 4), then X = 8 and (a) Describe the distribution of X. It might help to draw a 6 x 6 array to think about S and X. (b) Describe the distribution of Y. It might help to draw a 6 x 6 array to think about S and X. (c) Compute P(X 7) and P(X > 7). = 3) and P(Y < 3). (d) Compute P(Y: (e) Compute P(X = 7|Y = 3) and P(X = 7|Y = 6). (f) Are the events {X = 7} and {Y = 6} independent?
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