I like these versions better:
So an engineer, a physicist, and a statistician are all sleeping in a hotel room when suddenly an outlet catches fire. The engineer wakes up first and says to himself "this is an electrical fire, water won't work!" And runs to grab a fire extinguisher. The physicist wakes up next and thinks to himself "we have to cut the electricity off!" And runs to the power panel in the basement. The statistician wakes up and looks around, he then screams "we need more data!!" And he sets the curtains on fire.
An engineer is working at his desk in his office. His cigarette falls off the desk into the wastebasket, causing the papers within to burst into flames. The engineer looks around, sees a fire extinguisher, grabs it, puts out the flames, and goes back to work.
A physicist is working at his desk in another office and the same thing happens. He looks at the fire, looks at the fire extinguisher, and thinks "Fire requires fuel plus oxygen plus heat. The fire extinguisher will remove both the oxygen and the heat in the wastebasket. Ergo, no fire." He grabs the extinguisher, puts out the flames, and goes back to work.
A mathematician is working at his desk in another office and the same thing happens. He looks at the fire, looks at the fire extinguisher, and thinks for a minute, says "Ah! A solution exists!" and goes back to work.
An engineer, an architect and an actuary are stranded on a desert island with only one can of baked beans and no can opener. The engineer suggests lighting a fire to heat up the can so that the contents will expand and force the can to open. The architect says the contents would scatter all over the place, so he suggests building a structure around the fire to catch the contents. The actuary says, “Assume a can opener…"
There was a mad scientist who kidnapped three colleagues, an engineer, a physicist, and a mathematician, and locked each of them in separate cells with plenty of canned food and water but no can opener.
A month later, returning, the mad scientist went to the engineer's cell and found it long empty. The engineer had constructed a can opener from pocket trash, used aluminum shavings and dried sugar to make an explosive, and escaped.
The physicist had worked out the angle necessary to knock the lids off the tin cans by throwing them against the wall. She was developing a good pitching arm and a new quantum theory.
The mathematician had stacked the unopened cans into a surprising solution to the kissing problem; his desiccated corpse was propped calmly against a wall, and this was inscribed on the floor in blood:
Theorem: If I can't open these cans, I'll die.
Proof: assume the opposite...
A psychologist was studying the problem-solving abilities of engineers and actuaries. During a joint interview with one engineer and one actuary, the engineer was asked “If there was a fire in the wastebasket and a bucket of water on my desk, what would you do?” The engineer responded that he would put out the fire with the bucket of water. Then the actuary was asked “If there was a fire in the wastebasket and a bucket of water on the window sill, what would you do?” The actuary’s studied reply was “I would move the bucket to the desk, thus reducing the problem to the previously solved one.”
One day a mathematician decides that he is sick of math. So, he walks down to the fire department and announces that he wants to become a fireman.
The fire chief says, "Well, you look like a good guy. I'd be glad to hire you, but first I have to give you a little test."
The firechief takes the mathematician to the alley behind the fire department which contains a dumpster, a spigot, and a hose. The chief then says, "OK, you're walking in the alley and you see the dumpster here is on fire. What do you do?"
The mathematician replies, "Well, I hook up the hose to the spigot, turn the water on, and put out the fire."
The chief says, "That's great... perfect. Now I have to ask you just one more question. What do you do if you're walking down the alley and you see the dumpster is not on fire?"
The mathematician puzzles over the question for awhile and he finally says, "I light the dumpster on fire."
The chief yells, "What? That's horrible! Why would you light the dumpster on fire?"
The mathematician replies, "Well, that way I reduce the problem to one I've already solved."