MPDL3280A With Chemoradiation for Lung Cancer

The goal of this clinical research study is to learn about the safety of adding MDPL3280A to standard chemotherapy (a combination of carboplatin and paclitaxel) and radiation in patients with lung cancer. You are being asked to take part in this study because you have non-small cell lung cancer (NSCLC) that is unresectable (cannot be removed by surgery) and has not spread. This is an investigational study. MPDL3280A is not FDA approved or commercially available. It is currently being used for research purposes only. Paclitaxel, carboplatin, and the radiation therapy are all FDA approved for the treatment of lung cancer. The use of these drugs in combination is considered investigational. Up to 40 participants will be enrolled in this study. All will take part at MD Anderson.

Inclusion Criteria: 1. Ability and willingness to provide informed consent 2. Ability and willingness to comply with the requirements of the study protocol 3. Age \>/= 18 years. 4. Representative tumor specimens in paraffin blocks (preferred) or at least 10 unstained slides, with an associated pathology report, requested at any time prior to study entry. Only tissue from core needle, punch, or excisional biopsy sample collection will be accepted. Fine-needle aspiration, brushing, and lavage samples are not acceptable. For all biopsy types, submitted blocks should have sufficient tissue to generate at least 10 sections, and tissue for which the pathology report specifies that the overall tumor content is low (e.g., "sparse" or "scant") is not acceptable. 5. Cont'd from #4: If archival tissue is either insufficient or unavailable, the patient will need to consent to and undergo a pre treatment core or excisional biopsy sample collection of the tumor. Fine needle aspiration, brushing, and lavage samples are not acceptable. The immediate unavailability of tissue blocks or unstained slides aside from the slides needed for diagnostic confirmation of lung cancer does not exclude patients from this trial. If the patient chooses to not undergo a repeat biopsy aside from biopsy for diagnostic purposes, the patient will still be eligible to enroll on 2014-0722. However, availability of core or excisional biopsy samples must be ascertained prior to enrollment. 6. Patients must have histologically confirmed, untreated non-small cell lung cancer that are considered non-metastatic, unresectable for which chemoradiation is the definitive therapy. 7. Patients will have the option to enroll on blood collection protocol, LAB09-0983, for serial collections of blood before, during intervals of treatment, and at follow up visits. Enrolling on the LAB09-0983 protocol is not required to enroll on the 2014-0722 study. 8. Adequate hematologic and end organ function, defined by the following laboratory results obtained within 14 days prior to the first study treatment (Cycle 1, Day 1): Absolute neutrophil count (ANC) \>/= 1500 cells/uL \*White Blood Cells (WBC) counts \> 2500/uL \*Lymphocyte count \>/= 500/uL \*Platelet count \>/= 100,000/uL; for patients with hematologic malignancies, platelet count \>/= 75,000/uL \*Hemoglobin \>/= 9.0 g/dL \*Total bilirubin \