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Q2. (5 points.) A battery used in a new technology car has a high rate of reliability, and was reputed to start on any given occasion with probability 0.9999. What is the probability of at least one failure in the next 10,000 starts? Q3. (5 points.) The percentage of imperfections 0n the surface of a pearl in a batch follows a beta(l,2) distribution. A pearl with more than 40% imperfections in the surface is rated as grade B. What is the chance that a randomly picked pearl in this batch is grade B