• Please solve the question
  

An archer hits a bull's-eye with a probability of 0.05, and the results of different attempts can be taken to be independent of each other. If the archer shoots eight arrows, calculate the probability that: (a) At least two arrows score bull's-eyes. (b) What is the expected number of bull's-eyes scored? (c) What is the probability that the third bull's-eye is scored with the seventh arrow? (d) What is the probability that the rst bull's-eye is scored with the third arrow