5.87 Do You Return Your Questionnaires? The president of a company specializing in public opinion surveys claims

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5.87 Do You Return Your Questionnaires? The president of a company specializing in public opinion surveys claims that approximately 70% of all people to whom the agency sends questionnaires respond by filling out and returning the questionnaire. Twenty such questionnaires are sent out. Assume that the president's claim is correct.

a. What is the probability that exactly ten of the questionnaires are filled out and returned?

b. What is the probability that at least 12 of the questionnaires are filled out and returned?

c. What is the probability that at most ten of the questionnaires are filled out and returned?

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