l The Binomial distribution An example worked with tables Problem: According to a corporate association, 50.0% of the population of Vermont were boating participants during the most recent year. For a randomly selected sample of 20 Vermont residents, with x=the number sampled who were boating participants that year, determine a.E(x)=nT=20×0.50=10 b P(a<8)Go to Appendix, Table A 2, n=20. For T=0.5 andk=8,P(x≤8)=0.2517 C P(=10) Go to Appendix, Table A 1, n=20. For T=0.5 andk=10,P(x=10)=0.1762 o 2002 The Wadsworth GroupThe Binomial Distribution, An Example Worked with Tables • Problem: According to a corporate association, 50.0% of the population of Vermont were boating participants during the most recent year. For a randomly selected sample of 20 Vermont residents, with x = the number sampled who were boating participants that year, determine: a. E(x) = n p = 20 x 0.50 = 10 b. P(x  8) Go to Appendix, Table A.2, n = 20. For p = 0.5 and k = 8, P(x  8) = 0.2517 c. P(x = 10) Go to Appendix, Table A.1, n = 20. For p = 0.5 and k = 10, P(x = 10) = 0.1762 © 2002 The Wadsworth Group