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RANDOM VARIABLE ANE DISCRETE PROBABILITY DISTRIBUTION — Statistics STD 12 Commerce — Question

Gujarat BoardEnglish MediumSTD 12 CommerceStatisticsRANDOM VARIABLE ANE DISCRETE PROBABILITY DISTRIBUTION3 Marks
Question
Determine when the following distribution is a probability distribution of discrete variable. Hence obtain the probability for $x =2$
$p(x)=c\left(\frac{1}{4}\right)^{x}, \quad x=1,2,3,4$
✓

Answer

Here, $p(1)=c\left(\frac{1}{4}\right), p(2)=c\left(\frac{1}{4}\right)^{2}=c\left(\frac{1}{16}\right), p(3)=c\left(\frac{1}{4}\right)^{3}=c\left(\frac{1}{64}\right), p(4)=c\left(\frac{1}{4}\right)^{4}=c\left(\frac{1}{256}\right)$

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