Hi, can someone guide me on how to solve a question related to exponential distribution? Thanks in advance!
An exponential random variable X has its pdf given by
f (x;λ) = λexp{−λx} for x ≥ 0
The value of λ is not given
Q:Compute P(k < X ≤ k + 1) for k = 0, 1, . . ..
P(k < X ≤ k + 1) = F(k+1) - F(k)
Do I use CDF? Which would just be
= exp(-λk)-exp(-λ(k+1))
= exp(-λk)(1-exp(-λ))
Is there more step to it? I am assuming I need some sort of value.
Thanks again!!