To solve a normal distribution application problem, you should use the following steps:

Step 1: Draw a normal curve and label the mean.

Step 2: Plot the specific x of the problem on the graph and shade in the desired area.

Step 3: Calculate the z-score

Step 4: Look on the chart to find the corresponding area. (Remember, on our charts, the area given always indicates the area to the left of x)

Step 5: Figure out if you need to keep, add or subtract the area.

1.PRACTICE: Data shows that the mean speed of people driving on the turnpike is 67 mph with a standard deviation of 3 mph.What is the probability that a person on the turnpike is traveling less than 61mph? Draw the normal curve before you begin.

2.PRACTICE: Data shows that the mean speed of people driving on the turnpike is 67 mph with a standard deviation of 3 mph.What is the probability that a person on the turnpike is traveling between 64mph and 71mph? Draw the normal curve before you begin.