My Courses CRN 40938 E Chapter 4 HW - Discrete Random Variable $$ { }^{+} $$A! + Category: Homework a. Which of the following describes the random variable $$ X $$ in words. A $$ X= $$ the number of stores visited by a customer. B $$ \quad X= $$ the number of DVDs a Video To Go customer rents. C $$ X= $$ the number of customers visiting Video To Go. D $$ X= $$ the probability that a customer rents at least one DVD. Q Your answer is correct.

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My Courses > CRN 40938 E Chapter 4 HW - Discrete Random Variable $$ { }^{+} $$A! + Category: Homework a. Which of the following describes the random variable $$ X $$ in words. A $$ X= $$ the number of stores visited by a customer. B $$ \quad X= $$ the number of DVDs a Video To Go customer rents. C $$ X= $$ the number of customers visiting Video To Go. D $$ X= $$ the probability that a customer rents at least one DVD. Q Your answer is correct.

UpStudy AI · Accepted Answer

To determine which option correctly describes the random variable $$ X $$, let's analyze each option:

1. **Option A**: $$ X = $$ the number of stores visited by a customer.
   - This describes a count of stores, which is a discrete random variable. However, it does not relate specifically to the context of a video rental store.

2. **Option B**: $$ X = $$ the number of DVDs a Video To Go customer rents.
   - This describes a count of DVDs rented by a customer at a video rental store. This is a discrete random variable because it can take on non-negative integer values (0, 1, 2, ...).

3. **Option C**: $$ X = $$ the number of customers visiting Video To Go.
   - This describes a count of customers visiting the store, which is also a discrete random variable. However, it is more about the customer traffic rather than individual customer behavior.

4. **Option D**: $$ X = $$ the probability that a customer rents at least one DVD.
   - This describes a probability, which is not a discrete random variable. Instead, it is a measure of likelihood and can take on values between 0 and 1.

Based on this analysis, the best description of the random variable $$ X $$ in the context of a video rental store is:

**Option B**: $$ X = $$ the number of DVDs a Video To Go customer rents.

This option accurately reflects a discrete random variable related to the specific scenario of renting DVDs.
$$ X $$ is the number of DVDs a Video To Go customer rents.

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