Consider a branching process where each family has either zero or three children, each with probability 1/2. What is the probability that the descendants of a single individual die out?
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- Suppose that 30% of applicants for an industry job are proficient at object-oriented programming (OOP). Applicants are interviewed sequentially and are selected at random from the pool. Given that five applicants have already been interviewed and none of them are proficient at OOP, what is the probability that five more applicants must be interviewed to find the first individual proficient at OOP?Assume that there is a 6% rate of disk filure in a year. a) If all your computer data storage is stored on a hard drive with a copy stored on a second hard disk drive, what is the probabiblity that during that year you can avoid catastrophe with at least one working drive? b) If copies of all your computer data are stored on three independent hard disk drives, what is the probablility that during a year you can avoid catastrophe with at least one working drive?