From the short clip there's no indication of why the bus went out of control, and from my experience as a (male) truck driver i can tell you that even the slightest malfunction on a vehicle that large can cause major problems. I'm going to guess that the problem was with the bus, not the driver (female or not.)
Rochester: the reason women pay less for car insurance than men is that the insurance companies are relying on outdated statistics to calculate risk. If they took into account modern crash statistics, citations, and claims data they would see that according to the NTSB and DMV the vast majority of accidents in the past 20 years have involved a young woman, an elderly person, or both...both groups pay less for insurance than men. My younger sister, who has a distinct talent for backing into parked cars and who has had 6 claims in 4 years for property damage and a number of citations for "oops, where'd that stop sign come from" pays less for full coverage on her car than i pay for liability coverage on mine with my spotless driving record...all because i have a penis.