Suppose you are interested in studying student health on a college campus. With grant money from the National Institutes of Health (NIH), you purchase 75 Fitbits and give them to students on campus. The Fitbits count the number of steps each student takes every day. After a week of collecting data, you find that students walk an average of 11,854 steps per day with a standard deviation of 2,390 steps. Use this information to answer the following questions:

1. What is the z-score for a student who takes 13,000 steps per day?

2. What is the probability of randomly selecting a student who takes more than 13,000 steps per day?

3. What is the z-score for a student who takes 9,000 steps per day?

4. What is the probability of randomly selecting a student who takes less than 9,000 steps per day?

5. What is the probability of randomly selecting a student who takes more than 9,000 steps per day?

6. What is the probability of randomly selecting a student who takes between 9,000 and 13,000 steps per day?