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Statistics and Probability Suppose that the tablet is in the library with probability 0.8, and in the car with probability 0.2. If he searches the library, he will find the tablet with probability 0.1; if he searches his friend's car, he will find it with probability 0.9. Searching the library takes 10 minutes, and searching the car takes 5 minutes. He can search each place multiple times. (a) [15 points] What is the best strategy for the mathematician to find his tablet in the first 10 minutes? (b) [10 points] Suppose the mathematician calls his friend, and he confirms there is no tablet in his car. Suppose that his friend's search is successful with probability 0.7 if the tablet is in the car. What is the probability that the mathematician will find the tablet in his friend's car after searching it