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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 0.05 of an immediate donation by credit card, 0.23 of no immediate donation but a request for further information through the mail, and 0.72 of no expression of interest. Information is mailed to all people requesting it, and it is estimated that 30% 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 three 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 three calls that never lead to a donation? a. The probability that no immediate credit card donation will be received until at least three calls where no immediate donations are made is N. (Round to three decimal places as needed.)

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 0.05 of an immediate donation by credit card, 0.23 of no immediate donation but a request for further information through the mail, and 0.72 of no expression of interest. Information is mailed to all people requesting it, and it is estimated that 30% 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 three 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 three calls that never lead to a donation? a. The probability that no immediate credit card donation will be received until at least three calls where no immediate donations are made is N. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 0.05 of an immediate donation by credit card, 0.23 of no immediate donation but a request for further information through the mail, and 0.72 of no expression of interest. Information is mailed to all people requesting it, and it is estimated that 30% 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 three 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 three calls that never lead to a donation? a. The probability that no immediate credit card donation will be received until at least three calls where no immediate donations are made is O (Round to three decimal places as needed.)
Transcribed Image Text: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 0.05 of an immediate donation by credit card, 0.23 of no immediate donation but a request for further information through the mail, and 0.72 of no expression of interest. Information is mailed to all people requesting it, and it is estimated that 30% 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 three 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 three calls that never lead to a donation? a. The probability that no immediate credit card donation will be received until at least three calls where no immediate donations are made is O (Round to three decimal places as needed.)
Question Help ▼ Forty-six percent of a corporation's blue-collar employees were in favor of a modified health care plan, and 21% of its blue-collar employees favored a proposal to change the work schedule. Thirty-one percent of those favoring the health care plan modification favored the work schedule change. Complete parts a through c below. a. What is the probability that a randomly selected blue-collar employee is in favor of both the modified health care plan and the changed work schedule? (Round to four decimal places as needed.)
Transcribed Image Text:Question Help ▼ Forty-six percent of a corporation's blue-collar employees were in favor of a modified health care plan, and 21% of its blue-collar employees favored a proposal to change the work schedule. Thirty-one percent of those favoring the health care plan modification favored the work schedule change. Complete parts a through c below. a. What is the probability that a randomly selected blue-collar employee is in favor of both the modified health care plan and the changed work schedule? (Round to four decimal places as needed.)
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