A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 20% of day visitors ultimately make a purchase, 50% of one-night visitors buy a unit, and 40% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? (Round your answer to three decimal places.) How likely is it that this person made a one-night visit? (Round your answer to three decimal places.) How likely is it that this person made a two-night visit? (Round your answer to three decimal places.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest.
Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a
two-night visit. In addition, 20% of day visitors ultimately make a purchase, 50% of one-night visitors buy a unit, and 40% of
those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How
likely is it that this person made a day visit? (Round your answer to three decimal places.)
How likely is it that this person made a one-night visit? (Round your answer to three decimal places.)
How likely is it that this person made a two-night visit? (Round your answer to three decimal places.)
Transcribed Image Text:A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 20% of day visitors ultimately make a purchase, 50% of one-night visitors buy a unit, and 40% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? (Round your answer to three decimal places.) How likely is it that this person made a one-night visit? (Round your answer to three decimal places.) How likely is it that this person made a two-night visit? (Round your answer to three decimal places.)
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