The probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.8. Assume the trials are independent. Round your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that the first successful alignment requires exactly four trials?
(b) What is the probability that the first successful alignment requires at most four trials?
(c) What is the probability that the first successful alignment requires at least four trials?