What’s on TV tonight?

Must-see

Shark Tank season-finale, 9 p.m., ABC. One man has created a “nubrella” that keeps the rain out by surrounding him like a robot head; another has invested $60,000 in a bendable, build-able toy. A couple turns llama droppings into fertilizer. we also re-meet Robert Allison. Earlier, he rejected $1 million for his invention, which requires seatbelts to be locked before a car starts; we’ll see how he’s doing.

Caprica, 9 p.m. Syfy. at the end of last week’s episode (rerunning at 8 p.m.), Zoe Graystone’s mom told a crowd (incorrectly) that her daughter was a terrorist, responsible for the train bomb; tonight, the world lashes out at the family. Zoe is dead, but her avatar lives in a virtual domain and inside a robot. Tonight, she and her living friend Lacy try to cope. they also meet an avatar of Joseph Adama’s daughter, who died in the explosion.

Worth watching

Ghost Whisperer, 8 p.m., CBS. Margaret Cho plays Ned’s professor of occult anthropology. When she’s confronted by a ghost, a Ouija board is needed.

The Edge of never (2009), 8 p.m., Showtime. this documentary introduces passionate extreme skiiers with a profound respect for a mountain. the goal is to have Kye Peterson, 15, try the same route that killed his dad. You’ll soon become involved with three generations of skiiers.

Big Time rush, 8:30 p.m., Nickelodeon. this is a tale of four young rockers, going to school at their record-company office. you may recognize one boy’s little sister Katie, played by Ciara Bravo, 12, a Summit Country Day School seventh-grader from Alexandria, Ky. the guys are loud and weird; the teachers are louder and weirder. It’s a rock comedy with little music and less wit.

Medium, 9 p.m., CBS. the same face keeps showing up on the body of everyone Allison sees.

Man Caves: Dan Patrick’s Studio, 9 p.m., DIY. Host Tony “Goose” Siragusa and contractor Jason Cameron install a basketball court, a golf simulator, an Emmy display case and a bar with booth seating into a broadcasting studio for Dan Patrick, the Mason High School basketball star and 1974 graduate who hosts a weekday 9 a.m.-noon talk show on WCKY-AM (1530).

Numb3rs, 10 p.m., CBS. Jewels have been stolen at an award ceremony. the team searches for the thief.

Spartacus: Blood and Sand, 10 p.m., Starz. Early in his training, Spartacus wants to take on the fierce Crixius. the result is well-made, but aimed for only a sliver of the TV audience.

Late-night talk shows

(PBS) Tavis Smiley Bill Withers; tribute to the Greensboro four.

(NBC) Conan O’Brien Rachel McAdams; Mindy Kaling; Diane Birch

(CBS) David Letterman Jack Hanna; the Swell Season