Three Ph.D's and seven master's degrees in a writing team demonstrates more exposure to knowledge leads to more humorous subject materials. Not surprising that the writing team of Futurama has these credentials behind them. Obviously education was not wasted on them and they have delighted millions of viewers with their collective funny offerings.
People like Robin Williams, George Carlin, Jon Stewart, and Lewis Black are famous comedians due not only to the fact that they work hard, but also because they're incredibly smart and observant. It's much more difficult to see the humor in everyday situations when one is not very intelligent or insightful.
While the writers of "Futurama" may have held a significant number of degrees and pedigrees from top universities, it does not show that people with better education are funnier. When considering many of the great comics of the past, they all have vastly differing life experiences and educational credentials. While having advanced degrees may lead to being more driven towards success and having more doors opened within the industry, it does not mean that the degrees make one an inherently funnier person.
People are born with their specific sense of humor, or lack thereof. We can often see one's sense of humor as early as toddler age. In other words one's sense of humor, like their personality, is inherent, just as the question states. Education is not inherent. Can education provide the resources to be able to articulate that sense of humor into a project such as Futurama? Definitely. But being educated and being funny have nothing to do with each other. That notion is ridiculous.