Define rich? Middle class upwards? Mark Zuckerberg, Bill Gates etc etc - all these billionaire entrepreneurs came from middle class families that valued education.
Then you have kids of the super rich like Arnold, Hilton, Magic Johnson, Lionel Richie etc etc who are spoiled and neglected and we are now seeing the results.

Yes Nicole Richie is not a success on her own.
Writing
Main article: The Truth About Diamonds
In 2005, Richie wrote a semi-autobiographical novel, The Truth About Diamonds, which was released by Bharell Jackson Publishing. The novel is loosely based on her life, but is mostly fictional. It chronicles the life of Chloe Parker, a singer's adopted daughter who makes her way through all the popular nightclubs and parties in Hollywood while battling a drug addiction.[23] In early January 2006, The Truth About Diamonds peaked at number No. 32 in Hardcover Fiction on The New York Times Best-Seller List.[24]
Richie's second novel, Priceless, was released on September 28, 2010.[25] It tells the story of a girl who loses everything and then learns about what really matters in life.[26]
Fashion
Richie at David Jones in Sydney promoting her House of Harlow sunglasses line in 2012
Richie's own personal style has become popular among fans and fashion critics and has led to her status as a fashion impresario and icon.[27] She has been the face of Bongo Jeans and Jimmy Choo advertising campaigns. In April 2007, Richie announced plans to start a jewelry, accessories, and sunglasses line along with a perfume and style book.[28] In October 2008, she debuted a jewelry line, House of Harlow 1960.[29] The line became available at Kitson's online boutique.[30] In spring 2010, the line was extended to include apparel and shoes.[31] In 2009, Richie joined maternity store A Pea in the Pod to create the new collection maternity clothes.[32] The line was titled "Nicole" which had pieces that she would wear as an expectant mother.[33] In February 2010, Richie expanded her fashion business with a women's line called Winter Kate, her daughter's two middle names. The collection was inspired by timeless prints and shapes, beautiful paisley and florals.[34]
In 2010, she won "Entrepreneur of the Year" for her House of Harlow 1960 brand at the Glamour Women of the Year Awards.[35] House of Harlow 1960 was also nominated in the category "Celebrity Fashion Line" at the 2010 Teen Choice Awards.[36] In July 2011, it was reported that Richie's House of Harlow 1960 line has unveiled a 14-piece handbag collection. The House of Harlow 1960 handbag collection will be available at Bergdorf Goodman, Neiman Marcus, Nordstrom and Shopbop.com.[37] In July 2011, it was announced that Richie would be one of the three mentors in NBC's new reality show Fashion Star alongside Jessica Simpson. Richie guided aspiring designers who hope to become the next big brand in fashion.[38][39] She launched a collection for Macy's Impulse in September 2012, which was sold in 100 Macy's stores as well as online.[40] Her first fragrance, Nicole, was also launched in September 2012.[