| \[x=k\] | \[-2\] | \[-1\] | \[0\] | \[1\] | \[2\] | \[3\] |
| \[P(X=k)\] | \[\frac{1}{10}\] | \[\frac{1}{10}\] | \[2c\] | \[\frac{3}{10}\] | \[\frac{1}{5}\] | \[c\] |
A) \[1/5\]
B) \[2/5\]
C) \[1/10\]
D) \[3/10\]
Correct Answer: C
Solution :
We know, sum of probability distribution is 1. \[\Rightarrow \] \[\frac{1}{10}+\frac{1}{10}+2c+\frac{3}{10}+\frac{1}{5}+c=1\] \[\Rightarrow \] \[3c+\frac{7}{10}=1\] \[\Rightarrow \] \[3c=\frac{3}{10}\] \[\Rightarrow \] \[c=\frac{1}{10}\]
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