# The Standard Normal Distribution - Page 5

Questions

- What is the fraction of the area under the normal curve between z = -0.87 and z = 1.62'?
- What is the fraction of the area under the normal curve between z = -1.91 and z = -0.62?
- What is the fraction of the area under the normal curve left of z = -2.12?
- What is the area under the standard normal curve between z = 0 and z = 3?
- The times it takes 5th graders to complete a mathematics problem are Normally distributed with mean 2 min and standard deviation 0.8 min. What is the probability that a randomly chosen 5th grader will take more than 2.5 minutes to complete the problem?
- What proportion of the numbers are between 0 and 0.2 (normal distribution)?
- Assume that a normal distribution has a mean of 21 and a standard deviation of 2. What is the percentage of values that lie above 23?
- Why is the empirical rule important?
- How can I calculate standard normal probabilities on the TI-84?
- What is the variance of the standard normal distribution?
- What is the area under the standard normal distribution between z = -1.69 and z = 1.00
- What is z value corresponding to the 65th percentile of the standard normal distribution?
- What is the z value such that 52% of the data are to its left?
- What are the 2 z values that identify the middle 50% of the standard normal distribution?
- How do I use the empirical rule?
- Use the empirical rule to determine the approximate probability that a z value is between -1 and 1 on the standard normal curve.
- Use the empirical rule to determine the approximate probability that a z value is between 0 and 1 on the standard normal curve.
- What does the Empirical Rule (also called the 68-95-99.7 Rule) tell you about the approximate probabilities for normally distributed values?
- What defines a normal distribution?
- How does the normal distribution differ form the Poisson distribution?