Overall, the amount of days attended (per year) is normally distributed around 275 days with a standard deviation of 30 days.

What's the probability that the mean number of days will be between 200 and 300?

In looking to promote a healthy life style, members that are in the top 5% will receive a coupon for 2-days free spa. What is the minimum number of days that you should attend the gym in order to receive such coupon?

The members at or below the 15%ile of number of days attended must attend a counseling session with one of the gym-trainers.

How likely (what is the probability) is it to have the number of days attended above 200?

How likely (what is the probability) is it that Frosty the Snowman (name not previously mentioned) will attend the Gym between 100 and 200 days?

What percentile does an attendance of 325 days rank at?

What percentile does an attendance of 275 days rank at?

If 9 people (9 = size of the sample) selected randomly attend the gym, what's the likelihood that their mean number of attended days will be within 20 days of the population mean?