Example 1: Suppose it is known that the average height of all college students at a specific school is 68.2 inches with a standard deviation of 3.74 inches. Assume this data is normally distributed....

Extracted text: Example 1: Suppose it is known that the average height of all college students at a specific school is 68.2 inches with a standard deviation of 3.74 inches. Assume this data is normally distributed. Use this information to answer the following questions. It can be very useful to draw a quick sketch of what the problem is asking for. a) Find the z-score that would correspond to an individual that was 70 inches tall. b) Find the z-score that would correspond to an individual that was 65 inches tall. c) What is the probability that a randomly selected college student from this school would be at least 67 inches tall? (Solve this problem 2 ways) d) What is the probability that a randomly selected college student from this school would be less than 68 inches tall? (Solve this problem 2 ways)