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In: Statistics and Probability

In a family with 6 children, excluding multiple births, what is the probability of having exactly...

In a family with 6 children, excluding multiple births, what is the probability of having exactly 2 girls?
Assume that having a boy is as likely as having a girl at each birth.

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A biotechnology company produced 201 doses of somatropin, including 9 which were defective. Quality control test 15 samples at random, and rejects the batch if any of the random samples are found defective. What is the probability that the batch gets rejected?

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A math professor finds that when she schedules an office hour for student help, an average of 3.2 students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is 5.

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The mean number of patients admitted per day to the emergency room of a small hospital is 2. If, on any given day, there are only 9 beds available for new patients, what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?

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