Introduction to Probability · 免费预览
指数分布、泊松过程与对称性
连续无记忆等待时间、它与泊松过程在时间上的配合、顺序统计量的对称性，以及双天线问题。
1. The Exponential distribution
The Exponential distribution
2. The Poisson process
The Poisson process
3. Symmetry of arrivals and the two antennas
Symmetry of arrivals and the two antennas
4. Memorylessness continuous edition
Bus inter-arrival times are Exponential with mean 10 minutes. You have waited 10 minutes already. What is the expected additional wait?
5. Poisson process dictionary
Emails arrive as a Poisson process of rate 3 per hour. What is the probability of no email in the next 30 minutes?
6. Exponential CDF
T is Exponential with rate 2 per minute. What is P(T is at most half a minute)? Round to three decimals, like 0.632.
7. Rate from mean
A service desk averages 4 minutes per customer, modeled Exponential. What is the rate lambda per minute? Enter like 0.25.
8. Minimum of two waits
Two independent servers each finish at Exponential rate 3 per hour. The time until the FIRST of them finishes is Exponential with what rate? Enter an integer.
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.