The conditional relative frequency table was generated using data that compared the cost of one ticket for a performance and the method by which the ticket was purchased. A 4-column table with 3 rows titled ticket purchases. The first column has no label with entries purchased online, purchased at the box office, total. The second column is labeled no more than $30 with entries 0.7, 0.3, 1.0. The third column is labeled more than $30 with entries 0.86, 0.14, 1.0. The fourth column is labeled total with entries 0.82, 0.18, 1.0.

Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office?

0.14
0.18
0.30
0.86

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000