3. Description of Study Treatments or Exposures/Predictors The investigators will identify all qualified infants who meet eligibility criteria for enrollment, and will obtain informed consent at that time. Infants will not be randomized until their apnea, bradycardia, and/or oxygen desaturation has been the sole remaining discharge criteria for at least 7 days. Prior to randomization, but after the receipt of written informed consent, the investigators will confirm that the primary clinical team has determined that there are no alternate etiologies for the apnea/bradycardia/desaturation events, based on diagnostic testing or clinical judgment.