We present measurements of correlated bb-bar cross sections, mu-mu correlations, the average B^0 B-bar^0 mixing parameter chi-bar, and a limit on the CP violating parameter epsilon_B. For these measurements, we use muon pairs from bb-bar double semileptonic decays. The data used in this analysis were taken with the Collider Detector at Fermilab and represent an integrated luminosity of 17.4 \pm 0.6 pb^-1. The results concerning bb-bar production correlations are compared to predictions of next-to-leading order QCD computations.