Please help ACT scores are normally distributed with a mean score of 21.1 and a standard deviation of 5.3. Use this information to answer the following questions.

You are applying for a scholarship that requires that your ACT score be at least at the 85th percentile. What is the lowest score that you can make and qualify for the scholarship (round to nearest whole number)?

What is the probability that a randomly selected student who took the ACT will score below 24 on the test?

You overhear your counselor saying that everyone at the school scored between the 17th and 93rd percentile on the ACT. Given that information, what was the range of ACT scores of your school?