Let r.v.s X and Y have the following joint PMF, with P(X=x, Y=y) reported in the table below.  What is P(X=2)? Joint PMF of X and Y Y=2 Y=4 X=2 0.35 0.1 X=4 0.3 0.25 Use this distribution for ALL questions in this quiz.单项选择题

A

0.1

B

0.35

C

0.45

D

0.65

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Suppose that 57% of the swimmers in a club are female (F), that 32% of the swimmersin the club swim butterfly (B), and that 11% of the swimmers in the club are femaleand swim butterfly. Which of the following probability tables correctly summarises thisinformation?

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Consider r.v.s X and Y with PDF 𝑓 ( 𝑥 , 𝑦 ) = 8 𝑥 𝑦  for  0 < 𝑥 < 𝑦 < 1.   Which of the following will calculate P(X>0.2, Y>0.3) ?  Hint: Sketch the support region and the region of interest.

Which of the following trees corresponds to a potential parse of the ambiguous sentence below, with correct syntactic categories? Some diagnostics are provided.

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