Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
To determine the probability that Lorenzo purchased his ticket at the box office given that he paid more than [tex]$30, we'll analyze the given conditional relative frequency table.
The table presents the data as:
- For tickets costing "No More than $[/tex]30":
- The probability of purchasing online is 0.70.
- The probability of purchasing at the box office is 0.30.
- For tickets costing "More than [tex]$30": - The probability of purchasing online is 0.86. - The probability of purchasing at the box office is 0.14. - The total probabilities across all costs are: - The probability of purchasing online is 0.82. - The probability of purchasing at the box office is 0.18. We are asked to determine the probability that Lorenzo purchased his ticket at the box office given that he paid more than $[/tex]30. This is a conditional probability problem where we need to find [tex]\( P(\text{Box Office} \mid \text{More than } \$30) \)[/tex].
From the table, it is clear:
- [tex]\( P(\text{Box Office} \mid \text{More than } \$30) = 0.14 \)[/tex]
Therefore, the probability that Lorenzo purchased his ticket at the box office given that he paid more than $30 is [tex]\( \boxed{0.14} \)[/tex].
So, the correct answer is [tex]\( 0.14 \)[/tex].
- The probability of purchasing online is 0.70.
- The probability of purchasing at the box office is 0.30.
- For tickets costing "More than [tex]$30": - The probability of purchasing online is 0.86. - The probability of purchasing at the box office is 0.14. - The total probabilities across all costs are: - The probability of purchasing online is 0.82. - The probability of purchasing at the box office is 0.18. We are asked to determine the probability that Lorenzo purchased his ticket at the box office given that he paid more than $[/tex]30. This is a conditional probability problem where we need to find [tex]\( P(\text{Box Office} \mid \text{More than } \$30) \)[/tex].
From the table, it is clear:
- [tex]\( P(\text{Box Office} \mid \text{More than } \$30) = 0.14 \)[/tex]
Therefore, the probability that Lorenzo purchased his ticket at the box office given that he paid more than $30 is [tex]\( \boxed{0.14} \)[/tex].
So, the correct answer is [tex]\( 0.14 \)[/tex].
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.