2. Even at conferences full of physicians, female doctors noticed that they were introduced as "Doctor" about 49% of the time. Visualize a female physician networking at such an event. (a) What is the probability that she will be introduced as "Doctor" 3 times before not being addressed by the title on the fourth introduction? (b) What is the probability that she will be introduced as "Doctor“ at most 3 times before not being addressed by the title?

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