1. Understanding the normal curve. In the standard normal distribution, the cumulative area for a standard score of -3.49 is close to what value?

2. Empirical rule. Using the empirical rule, what percentage of the area under the standard normal curve would you expect between the z=3z=3 and z=3z=3?

3. What is the area under a standard normal curve between z=2.16z=2.16 and z=1.58z=1.58?

4. What is the area under a standard normal curve to the right of z=2.16z=2.16?

5. What is the area under a standard normal curve between z=1.82z=1.82 and z=1.14z=1.14

Problem 6. Answer the question using the following information. The normal distribution is a type of probability density function. Areas found under this curve are equivalent to probabilities. For example, the probability that z lies between a and b is denoted P(azb)P(azb) and this probability is the same as the area under the curve between the z-scores, z1=az1=a and z2=bz2=b.

6. Using a standard normal curve, what is P(1.36z1.20)P(1.36z1.20)?