the conditional relative frequency table was generated using data that compared the cost of one ticket for a…

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. given that lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office? ticket purchases no more than $30 more than $30 total purchased online 0.7 0.86 0.82 purchased at the box office 0.3 0.14 0.18 total 1.0 1.0 1.0

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. given that lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office? ticket purchases no more than $30 more than $30 total purchased online 0.7 0.86 0.82 purchased at the box office 0.3 0.14 0.18 total 1.0 1.0 1.0

Answer

Explanation:

Step1: Identify relevant values

We want the probability that a ticket was purchased at the box - office given it cost more than $30. From the conditional relative - frequency table, the value in the "Purchased at the Box Office" row and "More than $30" column is 0.14, and the total for the "More than $30" column is 1.0.

Step2: Recall conditional probability formula

The conditional probability $P(A|B)$ (probability of event $A$ given event $B$) in the context of a conditional relative - frequency table is the value in the cell corresponding to $A$ and $B$ divided by the total of the column (or row depending on the conditioning) for $B$. Here, the probability that the ticket was purchased at the box office given it cost more than $30 is the value in the "Purchased at the Box Office" and "More than $30" cell.

Answer:

0.14