In this module, you learned how to calculate P(Z < z), which represents the probability that a randomly selected observation from a standard normal distribution (Z) is less than z. In this assignment, you are going to test your knowledge on the topic of normal probability.

Instructions

Read the chapters assigned for the module. Then, complete the following:

1. Solve the following exercise:
   1. The amount of time spent studying statistics each week by students earning A's in a course is normally distributed in a random variable with a mean of 7.5 hours and a standard deviation of 2.1 hours.
      • Answer: What is the probability that students get A's when they study more than 10 hours per week? It is required that you show the procedure performed to obtain the answer.
        • NOTE: In order to answer this exercise, you must compare two tables: Table 8.1 Normal Probabilities (Table 3 in Appendix B) that appears on page 274 of the textbook with Table II of an ordinary normal distribution that appears on page 399 of the book by Martnez Bencardino (2019).
2. Apply the theory learned by answering the following questions:
   1. Why can the standard normal distribution, as seen in the table, be used to find the probabilities of all normal distributions?
   2. How could the concept of normal distribution be applied in the business setting to analyze sales performance in a company?
   3. How could the normal distribution be applied in the healthcare industry to analyze and understand the variability in waiting times in a hospital or clinic?