If random variable X has the following probability distribution:
| X: | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| P(X=x): | a | 3a | 5a | 7a | 9a | 11a | 13a | 15a | 17a |
then the value of a is
Answer & explanation
Correct answer: option 4
The given distribution is the probability distribution.
$∴ \sum\limits^{8}_{r=0}P(X=r)=1$
$⇒ a +3a + 5a +7a + 9a + 11a + 13 a + 15a + 17a = 1$
$⇒ a =\frac{1}{81}$