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Back to 15.3 Problems on Random Selection

15.3 Exercise 13

Avg difficulty 2.5

A random number N of students take a qualifying exam. A grade of 70 or more earns a pass. Suppose N∼N \sim binomial (20, 0.3). If each student has probability p=0.7p = 0 . 7 of making 70 or more, what is the probability all will pass? Ten or more will pass?

Pfeiffer, Applied Probability, 15.3 Problems on Random Selection, exercise 13

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.