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In: Statistics and Probability

A local​ public-action group solicits donations by telephone. For a particular list of prospects it was...

A local​ public-action group solicits donations by telephone. For a particular list of prospects it was estimated that for any individual the probability was 0.04 of an immediate donation by credit​ card, 0.21 of no immediate donation but a request for further information through the​ mail, and 0.75 of no expression of interest. Information is mailed to all people requesting​ it, and it is estimated that 20​% of these people will eventually donate. An operator makes a sequence of​ calls, the outcomes of which can be assumed to be independent.

a. What is the probability that the first call leading to an immediate credit card donation is preceded by at least four calls that do not lead to an immediate​ donation?

b. What is the probability that the first call leading to any donation​ (either immediately or eventually after a​ mailing) is preceded by at least four

calls that never lead to a​donation?

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orchestra answered 2 years ago
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