6. Suppose we roll a six sided fair die two times. Calculate the sample space for this experiment (note it is of the form {(x, y)|x, y = 1, 2, 3, 4, 5, 6}). (a) Suppose X(w) = sum of the numbers in w. i. What is X. ii. For each x = X calculate the set {X = x}. iii. Calculate P(X = x) for all x Є X. (b) Suppose X(w) = maximum of the numbers in w?. i. What is X. ii. For each x = X calculate the set {X = x}. iii. Calculate P(X = x) for all x = X. (c) Suppose X(w) = first number minus the second number in w?. Calculate X. i. What is X. ii. For each x = X calculate the set {X = x}. iii. Calculate P(X = x) for all x Є X.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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6. Suppose we roll a six sided fair die two times. Calculate the sample space for this
experiment (note it is of the form {(x, y)|x, y = 1, 2, 3, 4, 5, 6}).
(a) Suppose X(w) = sum of the numbers in w.
i. What is X.
ii. For each x = X calculate the set {X = x}.
iii. Calculate P(X = x) for all x Є X.
(b) Suppose X(w) = maximum of the numbers in w?.
i. What is X.
ii. For each x = X calculate the set {X = x}.
iii. Calculate P(X = x) for all x = X.
(c) Suppose X(w) = first number minus the second number in w?. Calculate X.
i. What is X.
ii. For each x = X calculate the set {X = x}.
iii. Calculate P(X = x) for all x Є X.
Transcribed Image Text:6. Suppose we roll a six sided fair die two times. Calculate the sample space for this experiment (note it is of the form {(x, y)|x, y = 1, 2, 3, 4, 5, 6}). (a) Suppose X(w) = sum of the numbers in w. i. What is X. ii. For each x = X calculate the set {X = x}. iii. Calculate P(X = x) for all x Є X. (b) Suppose X(w) = maximum of the numbers in w?. i. What is X. ii. For each x = X calculate the set {X = x}. iii. Calculate P(X = x) for all x = X. (c) Suppose X(w) = first number minus the second number in w?. Calculate X. i. What is X. ii. For each x = X calculate the set {X = x}. iii. Calculate P(X = x) for all x Є X.
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