In: Statistics and Probability
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, 40% of day visitors ultimately make a purchase, 50% of one-night visitors buy a unit, and 50% 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.)