Let X and Y be events such that: • P(X) = 1/3 • P(Y) = 1/5 • P(Y|X) + P(X|Y) = 2/3 Calculate P(X' U Y). O 1/12 O 9/10 O 10/11 O 11/12 QUESTION 10 Let X, Y, Z be events such that: • X and Y are...

Let X and Y be events such that:<br>• P(X) = 1/3<br>• P(Y) = 1/5<br>• P(Y|X) + P(X|Y) = 2/3<br>Calculate P(X' U Y).<br>O 1/12<br>O 9/10<br>O 10/11<br>O 11/12<br>QUESTION 10<br>Let X, Y, Z be events such that:<br>• X and Y are disjoint<br>• X and Z are independent<br>• Y and Z are independent<br>• 4P(X) = 2P(Y) = P(Z) > 0<br>• P(X U ÝUZ) = 5P(X)<br>Calculate P(X).<br>O 1/6<br>O 2/6<br>O 1/4<br>5/6<br>

Extracted text: Let X and Y be events such that: • P(X) = 1/3 • P(Y) = 1/5 • P(Y|X) + P(X|Y) = 2/3 Calculate P(X' U Y). O 1/12 O 9/10 O 10/11 O 11/12 QUESTION 10 Let X, Y, Z be events such that: • X and Y are disjoint • X and Z are independent • Y and Z are independent • 4P(X) = 2P(Y) = P(Z) > 0 • P(X U ÝUZ) = 5P(X) Calculate P(X). O 1/6 O 2/6 O 1/4 5/6

Jun 10, 2022

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Let X and Y be events such that: • P(X) = 1/3 • P(Y) = 1/5 • P(Y|X) + P(X|Y) = 2/3 Calculate P(X' U Y). O 1/12 O 9/10 O 10/11 O 11/12 QUESTION 10 Let X, Y, Z be events such that: • X and Y are...

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