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15.3 Exercise 12

Avg difficulty 2.5

A questionnaire is sent to twenty persons. The number who reply is a random number N∼N \sim binomial (20, 0.7). If each respondent has probability p=0.8p = 0 . 8 of favoring a certain proposition, what is the probability of ten or more favorable replies? Of fifteen or more?

Pfeiffer, Applied Probability, 15.3 Problems on Random Selection, exercise 12

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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.