For 5(b) use queuing theory

Explain the Simpson's paradox. 3 Following slotted Aloha protocol, n contending nodes attempt to transmit via a 4+3 shared channel to an access point. The probability that a given node transmits in a particular slot is p. The nodes act independently of each other, and the events across slots are also independent. Any slot that sees more than one (concurrent) transmission is wasted due to collision, and slots that don't have any transmission from any of the n nodes are also wasted idly. A single transmission from one and only one of the nodes results in a successful transmission. With this setup, find the followings: i) If there is a collision in a slot, what is the expected number of nodes involved in the collision? ii) What is the probability that a given slot sees at least one transmission