Q3. The University of Michigan-Dearborn students averagely post 20 tweets per day. Assume the number of tweets is normally distributed with a standard deviation of 5. 1. What is the probability that a student posts less than 12 tweets per day (using the Z table, not Excel)? Plot the distribution. highlight the area of the probability. 2. What is the probability that a student posts more than 30 tweets per day (using the Z table, not Excel)? Plot the distribution and highlight the area of the probability. 3. What is the probability that a student posts between 18 and 28 tweets per day (using the Z table. not Excel)? Plot the distribution and highlight the area of the probability. 4. How to obtain the probability of the question above using Excel