People arrive at a queue according to the following scheme: throughout each minute of time either 0 or 1 person arrives. The probability that 1 person arrives is p and that no person arrives is q=1-p. Let Cr be number of customers arriving in first r minutes. Consider a Bernoulli trials procedure with success if a person arrives in a unit time and failure if no person arrives in unit time. Let Tr be the number of failure before the rth success.
1) What is the distribution of Tr?
2) What is the distribution of Cr?