1. Calls arriving at a call center are independently switched to one of five agents with equal probability. Consider what happens to the next five calls that arrive at the call center. 2. Calculate the probability that at most 3 are switched to agent 5. [4] 3. The probability that a student is accepted to a prestigious Exchange Programme between Botho University in Lesotho or Botswana and the University of Venda in South Africa is 0.3. If 10 students from the University of Venda apply, what is the probability that at most 3 will be accepted? [5]