Terry has a part-time job at a call centre. Calls to the call centre occur according to a Poisson process with rate $\lambda$ calls per minute. Terry decide to measure the time that elapses between each call. He observes that the time elapsed before the first call is $T_1$ minutes and the time elapsed between the first and second calls is $T_2$ minutes. $T_1$ and $T_2$ are independent and have the same distribution.
Question:
State the distribution of $T_1$ and $T_2$, with parameters
My answer:
$T_1$,$T_2$ ~ Exponential($\lambda$/$60$)
Am I reading the question correctly? Do you think my ($\lambda$/$60$) is correct?