4. On a large university campus, 84% of students report having a Microsoft product (phone, computer, mp3 player, etc.) and 33% report having an Apple product. Also, 86% report having a Microsoft or Apple product. A student is randomly selected from this campus. Define the following events: A the randomly selected student has a Microsoft product В the randomly selected student has an Apple product. a. Write out the event that the randomly selected student has a Microsoft product and an Apple product. What is the probability of this event? b. Write out the event that the randomly selected student does not have a Microsoft product and does not have an Apple product. What is the probability of this event? c. Write out the event that the randomly selected student has either a Microsoft product or an Apple product, but not both. What is the probability of this event?

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**Probability and Product Ownership on Campus**

On a large university campus, 84% of students report having a Microsoft product (e.g., phone, computer, mp3 player, etc.), and 33% report having an Apple product. Additionally, 86% report having a Microsoft or Apple product.

**Events Definition:**

- **A**: The randomly selected student has a Microsoft product.
- **B**: The randomly selected student has an Apple product.

**Questions:**

a. Identify the event that a randomly selected student has both a Microsoft product and an Apple product. What is the probability of this event?

b. Identify the event that a randomly selected student does not have a Microsoft product and does not have an Apple product. What is the probability of this event?

c. Identify the event that a randomly selected student has either a Microsoft product or an Apple product, but not both. What is the probability of this event?

d. What is the probability that a randomly selected student has an Apple product but not a Microsoft product?
Transcribed Image Text:**Probability and Product Ownership on Campus** On a large university campus, 84% of students report having a Microsoft product (e.g., phone, computer, mp3 player, etc.), and 33% report having an Apple product. Additionally, 86% report having a Microsoft or Apple product. **Events Definition:** - **A**: The randomly selected student has a Microsoft product. - **B**: The randomly selected student has an Apple product. **Questions:** a. Identify the event that a randomly selected student has both a Microsoft product and an Apple product. What is the probability of this event? b. Identify the event that a randomly selected student does not have a Microsoft product and does not have an Apple product. What is the probability of this event? c. Identify the event that a randomly selected student has either a Microsoft product or an Apple product, but not both. What is the probability of this event? d. What is the probability that a randomly selected student has an Apple product but not a Microsoft product?
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