Statistics - Discrete Distribution Problem?

Question

A test procedure for diagnosing faults in circuits indicates no fault with probability 0.99 if the circuit is faultless. It indicates a fault with probability 0.90 if the circuit is faulty. Let the probability that a circuit is faulty be 0.02.

(i) What is the probability that a circuit is faulty if the test procedure indicates a fault?

(ii) What is the probability that a circuit is faultless if the test procedure indicates that it is faultless.

What type of distribution is this?

Answer 1

for part i: It's just 2% of 90%. So, .02 * .9 = .018

for part ii: Same idea. 98% of 99% = .9702

Can't remember the types of distributions off the top of my head. If you can list them, I might be able to help.