2. Find the following probabilities given that 17 and 1.3. For each problem, use the following steps: Label the mean on the normal curve. Mark off where the value of interest is and shade the desired area. Using our z-score formula, z X , convert the x-value(s) of interest to z-scores. Label these z's on the number line below the curve and shade the desired area on the number line. . Using either the Standard Normal Table or normalcdf on the calculator, find the desired probability (area under the curve). a. P(x 15) b. P(15 x 20) c. P(x 15 or x 20) 3. Explain the difference between "the standard normal distribution" and "a normal distribution". Many datasets in the world follow a normal distribution. As will be discussed later in the semester, even datasets that are not normally distributed can be investigated using similar techniques so we spend a significant amount of time looking at normal distributions. Let's walk through an example