We often receive calls from frightened residents of the town where I work, who wish to report sightings of coyotes, bobcats, and the occassional "badgerdillo" (wtf?).
Intuitively, people automatically think there's extreme danger to having wildlife near their home. When you tell them that the odds are really small, that anything "bad" would come of the bobcat passing through their neighborhood, they want us to guarantee them that nothing will happen.
My response is always the same.
I can't guarantee you that a meteor won't fall on your house in the next 5 minutes, but it's really unlikely. Likewise, its extremely unlikely that anyone in your family will be harmed by a bobcat. In 14 years of working in Animal Control, I've never, EVER, had to deal with a bite on a person by a bobcat or coyote. Contrast that ZERO number to the over 3000 dog and cat bites that I've had to document quarantine on..... and you can decide for yourself where the actual REAL danger is.
Yes, people do occasionally become injure by bobcats and/or coyotes. But it is exceedingly rare, and is often the result of the human doing something ridiculously stupid.
Here's a shot of the last Bobcat call I recieved. I had to take the pictures through a dirty truck window, since they run away faster once I've gotten out of the truck. I was going to shoot video once I was on foot, but the cat took off as soon as my feet hit the ground.