Question: According to the 2010 census, what was the population of the CDP in which Captain Robert Robinson was born?

Context paragraphs:
Miller Place, New York: Miller Place is a hamlet and census-designated place (CDP) in Suffolk County, New York, United States, on the North Shore of Long Island.  Miller Place has been inhabited since the 17th century and is named for the Miller family that included many of its initial settlers.  For most of its history, the community functioned as an agriculture-based society.  Despite preserving much of its historic identity, changes in the 20th century have transitioned the hamlet into a desirable and densely populated suburban area.  The population was 12,339 at the 2010 census.

La Crescenta-Montrose, California: La Crescenta-Montrose is a populated place in Los Angeles County, California.  Part of the community is an unincorporated area and census-designated place (CDP), while the other portion lies within the City of Glendale.  According to the United States Census Bureau, the La Crescenta-Montrose CDP measures about 3.4 sqmi , and the population was 19,653 at the 2010 census, up from 18,532 in the 2000 census.

Greenville, California: Greenville is a census-designated place (CDP) in Plumas County, California, United States, on the north-west side of Indian Valley.  According to the United States Census Bureau, the CDP has a total area of 8.0 sqmi , all of it land.  The population was 1,129 at the 2010 census, down from 1,160 at the 2000 census.

John Robinson (New York politician): John Robinson (1654-1734) was born in Huntington, New York.  He served as a representative of Queens County in the 1691 New York Colonial Assembly to replace John Tredwell after he was arrested on a "scandalous" charge.  He is the father of Captain Robert Robinson, one of the founders of Yaphank.  John Robinson died in Oyster Bay, New York in 1734.

Walpole, Massachusetts: Walpole is a town in Norfolk County, Massachusetts, United States and also encompasses the entirely distinct entity of Walpole (CDP), with its much smaller area of 2.9 square miles and smaller population of 5,198 at the 2010 census.  Walpole Town, as the Census refers to the actual town, is located about 13 mi south of Downtown Boston and 23.5 mi north of Providence, Rhode Island.  The population was 24,070 at the 2010 census.  Walpole was first settled in 1659 and was considered a part of Dedham until officially incorporated in 1724.  The town was named after Sir Robert Walpole, "de facto" first Prime Minister of Great Britain.

Captain Robert Robinson: Captain Robert Robinson (1685?  - May 7, 1762) was born in Miller Place, New York.  A Queen Anne's War veteran, he is considered to be one of the founders of the hamlet of Yaphank, Suffolk County, New York in 1726.  He would marry Mary Davis in 1703.  Captain Robinson died May 7, 1762 in Pipestove Hollow, Mount Sinai, New York.  His father was John Robinson (1654-1734), a member of the General Assembly of 1691 from Queens County.

Rock Mills, Alabama: Rock Mills is a census-designated place (CDP) in Randolph County, Alabama, United States.  At the 2010 census the population was 600, down from 676 in 2000.  According to the U.S. Census, from 1890 until the 1920s, Rock Mills was an incorporated community.  It was later designated a CDP beginning in 2000.

Rochester, Washington: Rochester is a census-designated place (CDP) in Thurston County, Washington, United States.  It was founded in 1852, and the 2010 census recorded its population at 2,388.  According to the United States Census Bureau, the CDP has a total area of 2.3 square miles (6.0 square kilometers), all of it land.  Rochester Schools had 2095 students registered in 2011.

Captain Cook, Hawaii: Captain Cook is a census-designated place (CDP) in Hawaiʻ i County, Hawaiʻ i, in the United States, located in the District of South Kona.  The community, within the land division of Kealakekua, is so named because the post office for the area was located in the Captain Cook Coffee Co. during the early 1900s.  As of the 2010 census the CDP population was 3,429, up from 3,206 at the 2000 census.

Taconic Shores, New York: Taconic Shores is a residential development and census-designated place (CDP) in Columbia County, New York, United States.  The hamlet is near the geographic center of the town of Copake and surrounds Robinson Pond, a water body on the Roeliff Jansen Kill.  The CDP was designated after the 2010 census, so no population figure is yet available.

Supporting paragraphs: Captain Robert Robinson Miller Place, New York
Answer: 12,339