Water samples are taken from deep ocean water to identify new micro-species based on DNA testing.

The probability of a sample containing new micro-species is 0.2. Determine the following:

a. What is the probability of having one sample containing new micro-species out of 10 samples?

b. What is the probability of no new micro-species in 10 tested samples?

c. What is the probability of testing 10 samples to obtain the first sample containing new microspecies?

d. What is the probability of testing three consecutive samples without finding new micro-species?