Question 1: Assume that the number of cases of COVID-19 per day are normally distributed with a mean of 832 and a standard deviation of 93 on any given day.

Enter the answers in decimal form rounded to 4 decimal places (i.e. 0.0003 instead of 0.03%).

(a) What is the probability that on that day there will at most 604 cases? (b) What is the probability that on that day there will be between 690 and 1,097 cases? (c) What is the probability that on that day there will be at least 959 cases? Question 2: Advik and Landon began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Advik took a test in English and earned a 80, and Landon took a test in Art History and earned a 70.3. Use the fact that all the students' test grades in the English class had a mean of 71.3 and a standard deviation of 11.7, and all the students' test grades in Art History had a mean of 63.6 and a standard deviation of 8.8 to answer the following questions. Round z scores to 2 decimal places. a) Calculate the z-score for Advik's test grade. z=? b) Calculate the z-score for Landon's test grade. z=? c) Which person did relatively better?

• Advik
• Landon
• They did equally well.