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Q.

The value of c for which P(x= k) = ck2 can serve as the probability distribution function of a random variable X that takes values 0,1,2,3,4 is

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a

120

b

115

c

110

d

130

answer is D.

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Detailed Solution

P(X=k)=Ck2,k=0,1,2,3,4
Sum of probabilities  =1⇒C+4C+9C+16C=1⇒30C=1∴C=130

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