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?
Let 𝑓 𝑥 ( 𝑥 ) = 3 𝑥 + 3 18 where 𝑥 = 0 , 1 , 2 . Also, let ℎ ( 𝑦 | 𝑥 ) = 𝑥 + 𝑦 3 𝑥 + 3 , where 𝑦 = 0 , 1 , 2 when 𝑥 = 0 , 1 , 𝑜 𝑟 2 . Read the following statements below to determine whether each statement is correct or incorrect. (a) The support of 𝑓 ( 𝑥 , 𝑦 ) is rectangular is [ Select ] correct incorrect (b) 𝑓 ( 2 , 1 ) = 2 9 is [ Select ] correct incorrect (c) 𝑓 𝑦 ( 𝑦 ) = 𝑦 + 3 18 is [ Select ] correct incorrect (d) 𝑔 ( 𝑥 | 𝑦 ) = 𝑥 + 𝑦 3 𝑦 + 3 , where 𝑥 = 0 , 1 , 2 when 𝑦 = 0 , 1 , 𝑜 𝑟 2 is correct
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.
A project has a required return of 12.6 percent, an initial cash outflow of $42,100, and cash inflows of $16,500 in Year 1, $11,700 in Year 2, and $10,400 in Year 4. What is the net present value?
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