5.1 Properties of Continuous Probability Density Functions

What is the area under f(x) if the function is a continuous probability density function?

A continuous probability function is restricted to the portion between x = 0 and 7. What is P(x = 10)?

f(x), a continuous probability function, is equal to $\frac{1}{12}$, and the function is restricted to 0 ≤ x ≤ 12. What is P (0 < x < 12)?

f(x), a continuous probability function, is equal to $\frac{1}{3}$ and the function is restricted to 1 ≤ x ≤ 4. Describe $P \left(x > \frac{3}{2}\right) .$

For each probability and percentile problem, draw the picture.

When age is rounded to the nearest year, do the data stay continuous, or do they become discrete?  Why?