In the latest example of a real-life crime’s being dramatized for television, Netflix announced on Thursday that it was turning the Central Park jogger case into a five-episode series.

The streaming service has struck a deal with Ava DuVernay, the director of “Selma,” to write and direct the series. Ms. DuVernay, one of the most sought-after filmmakers in Hollywood, also worked with Netflix on the documentary “13th” and is a producer on the television show “Queen Sugar” on Oprah Winfrey’s OWN network. Ms. Winfrey’s Harpo Films will have a production credit on the new Netflix series.

The series will explore the notorious case involving five black and Hispanic teenagers who were charged with beating and raping a woman jogging in the park in 1989. All five of the accused were convicted and sentenced to prison in a case that was fraught with racial tension. But after another man confessed to the crime years later, the five were released from jail and their sentences were vacated. They ultimately received a settlement from New York City for about $40 million.

Netflix said on Thursday that the series would begin with the events of the spring of 1989, when the teenagers were first questioned by the police, and continue until the point when they received the settlement from the city three years ago.