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...