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MAT 210
• • •
Introduction to Statistics
Spring 2006
Exam 3
Date: 04/21/06
Code: | | | |
Name:_____________________________________ Write your full name and class code clearly in the spaces above. Work independently. This is a take-home exam. 60 minutes. Total score is 100. Good luck! Print the two-page test and give your answers on the test (in the provided spaces). Scratch paper will not be collected.
1. (20+20+10 = 50 pts) In a rural area, the infected rate of certain disease is 0.15 (i.e., 15%). A sample of 25 people is taken from the area - selections are independent. Define X as the number of people in the sample who are infected by the disease. (1) What is the distribution of X and what are the parameter values of this distribution? What are the mean value and standard deviation of X? What is the probability that at least 4 of the 25 people are infected? Use the probability formula for Binomial distribution (there is no a table for n = 25 in the textbook).
(2) Compute P(X ≥ 4) using norm...

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