A software engineer creates smartphone applications as a hobby, yet bugs/glitches occur occasionally in the applications they create. The probability of a random application having a bug/glitch is 0.03. Assume all applications are independent. (Round your answers to 4 decimal places, if needed.) (a) What is the probability that the 3rd application created is the first to have a bug/glitch? (b) What is the probability that less than 4 applications are created to produce the first one with a bug/glitch? (c) If the engineer has already created four applications with no bug/glitch, what is the probability that the 12th application created is the first to have a bug/glitch? (d) What is the mean number of applications created to produce the first one with a bug/glitch? What is the corresponding standard deviation? Mean = Standard deviation =

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