$$ { }^{+} $$Ald Category: Homework (1) 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Current learning objective: Probability Distribution Function (PDF) for a Discrete Random Variable Prev Next Question 4 Practice similar questions Score: 0 of 3 points Suppose Tom exercises at the gym at most four days a week. He manages to go to the gym four days a week $$ 12 \% $$ of the time, three days $$ 13 \% $$ of the time, two days $$ 10 \% $$ of the time, one day $$ 5 \% $$ of the time and no days $$ 60 \% $$ of the time. Suppose one week is randomly selected. Let $$ X= $$ the number of days Tom exercises at the gym per week. What values can $$ X $$ take on? Answer: $$ \square $$ Enter your answer (Enter your answer as a comma-separated list) Submit answer Attempts: 0/10 Find this question difficult? Do you know you can practice another version of this question?

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UpStudy AI · Accepted Answer

To determine the possible values that the random variable $$ X $$ can take, we analyze the given information about the number of days Tom exercises at the gym per week.

**Given:**
- Tom exercises **at most four days** a week.
- The probabilities for each number of days are:
  - **4 days:** 12%
  - **3 days:** 13%
  - **2 days:** 10%
  - **1 day:** 5%
  - **0 days:** 60%

**Possible Values for $$ X $$:**
Since Tom exercises at most four days a week, the number of days he can exercise ranges from **0** to **4**. Therefore, $$ X $$ can take on the following values:

$$ X = 0, 1, 2, 3, 4 $$

**Answer:**  
`0,1,2,3,4`
$$ X $$ can be 0, 1, 2, 3, or 4 days.

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