A telephone saleswoman arranges a sequence of interviews of potential customers in order to sell them an insurance policy. She believes that her success rate in completing a sale in any interview is $9$ %. Provide answers to the following to 3 decimal places.

Part a)

What is the probability that she fails to make a sale on the first five interviews?



Part b)

What is the probability that she makes her first sale on the fourth interview?



Part c)

What is the probability that the second sale is made on the eighth interview?