If the range of random variable is with for , then is equal to
Explanation of the correct option.
Given : Random variable has a range .
for
We know that the sum of all the probabilities is equal to .
We can see that above series is the arithmetic geometric series with common difference and common ratio .
We know that sum to infinity in AGP with the first term common difference and common ratio is,
for
Hence, option is the correct option.