A Study of LY2875358 in Participants With Non-Small Cell Lung Cancer With Activating Epidermal Growth Factor Receptor Mutations

Inclusion Criteria: * Histologically or cytologically confirmed diagnosis of metastatic Stage IV NSCLC * Have at least 1 measurable lesion whose presence is assessable using standard techniques by Response Evaluation Criteria in Solid Tumors (RECIST version 1.1) * Have molecular evidence of an epidermal growth factor receptor mutation (EGFRmt) known to be associated with EGFR tyrosine kinase inhibitor (TKI) drug sensitivity (G719X, exon 19 deletion, L858R, L861Q) * Eastern Cooperative Oncology Group (ECOG) performance status of ≤ 2 * Haven't received any prior systemic chemotherapy for Stage IV NSCLC (unless received as neoadjuvant or adjuvant therapy for early-stage NSCLC disease and completed therapy at least 6 months prior to enrollment) * Availability of adequate tumor material (block or slides) Exclusion Criteria: * Are currently enrolled in, or discontinued within the last 30 days from, a clinical trial involving an investigational product or non-approved use of a drug or device * Have previously completed or withdrawn from this study or any other study investigating LY2875358 * Have a serious concomitant systemic disorder or significant cardiac disease * Have interstitial pneumonia or interstitial fibrosis of the lung or have pleural effusion, pericardial fluids or ascites, requiring drainage every other week or more frequently * Have a history of another malignancy except for basal or squamous cell skin cancer and/or in situ carcinoma of the cervix, or other solid tumors treated curatively and without evidence of recurrence for at least 3 years prior to the study * Have major surgery less than 2 weeks prior to the initiation of study treatment therapy * Pregnant or lactating women