5.1 Continuous Probability Functions

Area under a density curve as the probability, the whole curve enclosing exactly one, and why strict and non-strict inequalities give the same answer.

Introductory Statistics 2e, 5.1 Continuous Probability Functions

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5 exercises

5.1 Exercise 8

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

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5.1 Exercise 10

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

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5.1 Exercise 12

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)?

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5.1 Exercise 16

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

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5.1 Exercise 18

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?

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