A gene has a mutation rate of 0.002 mutations per generation. How many generations would it take

Question:

A gene has a mutation rate of 0.002 mutations per generation. How many generations would it take for the expected number of mutations to be greater than 1? How many generations would it take before the probability of zero mutations is less than 0.001?
Genes in different organisms have different rates of mutation. Compute the above values and probabilities.