Introduction to Probability · 免费预览
概率密度函数与均匀分布
密度取代了质量，概率变成了面积，而均匀分布则在区间上均匀地铺展密度。
1. From masses to densities
From masses to densities
2. The Uniform distribution
The Uniform distribution
3. Functions of a Uniform
Functions of a Uniform
4. Density values are not probabilities
A density has f(x) = 2.5 on an interval of length 0.4 and 0 elsewhere. What is P(X = the midpoint of the interval)?
5. Uniform probabilities
X is Uniform(0, 60), a wait in minutes. What is P(X is between 15 and 25)?
6. A normalizing constant
A density is c times x on 0 to 2 and zero elsewhere. Find c. Enter a decimal like 0.5.
7. Uniform CDF
X is Uniform(2, 10). What is P(X is at most 5)? Enter a decimal like 0.375.
8. Transform CDF
U is Uniform(0, 1) and Y = U cubed. What is F of Y at y = 0.729, meaning P(Y at most 0.729)? Enter a decimal like 0.9.
9. In your own words
In your own words, state the most important definition, theorem or method of this lesson and explain what it says.