6. Normal Distribution and Continuous Random Variables

For Problems 5–10, determine whether the graph can represent a normal curve. If it cannot, explain why.

The notation za is the z-score such that the area under the standard normal curve to the right of za is _______.

List the properties of the normal density curve.

Watching Television The amount of time Americans spend watching television is closely monitored by firms such as AC Nielsen because this helps determine advertising pricing for commercials.

a. Do you think the variable “weekly time spent watching television” would be normally distributed? If not, what shape would you expect the variable to have?

Which is larger, the area under the t-distribution with 10 degrees of freedom to the right of t = 2.30 or the area under the standard normal distribution to the right of z = 2.32? Why?