Chapter 7.3, Problem 20E

Find the cdf of a random variable Y whose pdf is given by; 2, 0≤x≤1 1/3, 0≤x≤1 a) f(x)=3, 2≤x≤4 0, elsewhere 2, 1≤x≤2 b) f(x)= (3-x)2, 2≤x≤3 0, elsewhere

There are m users who share a computer system. Each user alternates between "thinking" intervals whose durations are independent exponentially distributed with parameter Y, and an "active" mode that starts by submitting a service re- quest. The server can only serve one request at a time, and will serve a request completely before serving other requests. The service times of different requests are independent exponentially distributed random variables with parameter μ, and also independent of the thinking times of the users. Construct a Markov chain model and derive the steady-state distribution of the number of pending requests, including the one presently served, if any.

Phase 1C: Question Writing and Approval Based on either your own discussion post or ideas sparked from what others mentioned, select two questions you’d like to answer by analyzing data from Census at School.  You will need to select one question from the qualitative category, and one question from the quantitative category. Remember the intent of these questions is to make comparisons and analyze data to eventually make inferences about and possibly draw conclusions about the larger population.  You should make notes as you gather your data on what things might be missing, what factors might be contributing to this data, and what questions you still have.  Qualitative Only Options How are males and females similar or different in their favorite subjects in school? Quantitative Options Do the number of texts sent differ between freshmen and seniors in high school?