L. The following table gives the distribution of a r.v. X ,nhere a and ß are constarnts, 20 2 P(X=x)| B 03 02 01 IFE(X)=0, then find E(3x²-5)

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Chapter1: Combinatorial Analysis
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I. The following table gives the distribution of a r.v. X ,where a and B are constants,
202 a
P(X=x) B 03 0.2 0.1
IFECX)-0, then find E(3x"-5)
II. The joint density of X and Y is given by:
+y) , Osxs2,0sys?
, elsewhere
a. Determine the value of the constant e
b. Compute P(0 <X<03,0<Y<02)
c. Find the marginal p.df of X
Transcribed Image Text:I. The following table gives the distribution of a r.v. X ,where a and B are constants, 202 a P(X=x) B 03 0.2 0.1 IFECX)-0, then find E(3x"-5) II. The joint density of X and Y is given by: +y) , Osxs2,0sys? , elsewhere a. Determine the value of the constant e b. Compute P(0 <X<03,0<Y<02) c. Find the marginal p.df of X
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