How would I go about solving this problem? I did not know if this was a problem where I could use a Geometric model, Binomial, or Possion Model? I do not know how to solve through this.

In a Six Sigma manufacturing process, the probability of manufacturing a part free of defects is 9939966913. Assume that a manufacturer operates a Six Sigma process for manufacturing a part called a widget and that the probability of having a defect-free widget is constant for each widget produced. In addition, suppose that each widget is manufactured independently from other widgets. If you began producing a new batch of widgets, how many widgets can you expect to be manufactured until you get the first defect in this batch? Round the number of widgets to two decimal places