In: Statistics and Probability
1) You have a device that wants to transmit many packets to a router, which is sometimes busy serving other users. At every second, your device attempts to send a packet. It succeeds with probability 1/5 and the success of any attempt is independent of the success of other attempts. What is the average number of attempts until the first success?
2)You have a device that wants to transmit many packets to a router, which is sometimes busy serving other users. At every second, your device attempts to send a packet. It succeeds with probability 1/5 and the success of any attempt is independent of the success of other attempts. Let N be the number of attempts until the first success. What is the average number of successful attempts out of 20?