Discrete Random Variables: Practice 4: Geometric Distribution 1.8 2008/06/26 23:58:27 GMT-5 2008/08/15 14:11:34.837 GMT-5 Barbara Illowsky illowskybarbara@deanza.edu Susan Dean deansusan@deanza.edu Connexions cnx@cnx.org elementary statistics This module provides further practice with topics of Geometric Distribution in Statistics.

Student Learning ObjectivesThe student will investigate the properties of a geometric distribution.

Given: Use the information from the Binomial Distribution Practice. Suppose that you will randomly select one freshman from the study until you find one who expects to work full-time while in college. You are interested in the number of freshmen you must ask.

Interpret the Data In words, define the Random Variable X. X ~ G(0.367) What values does X take on? 0,1,2,… Construct the probability distribution function (PDF) for X. Stop at X = 6. X P(X=x) 0 1 2 3 4 5 6 On average(μ), how many freshmen would you expect to have to ask until you found one who expects to work full-time while in college? 2.72 What is the probability that you will need to ask fewer than 3 freshmen? 0.5993 Construct a histogram or plot a line graph. Label the horizontal and vertical axes with words. Include numerical scaling.