Is my power supply in my computer going bad or what?

I will be on my desktop, and the computer will just ramdomly shut off. As if you pulled the power plug was pulled. It has happend a few times and it wont POST properlly when I turn it back on. The fans work, but nothing is displayed on the monitor, and the keyboard 'leds wont light up. I am cleaning the inside... show more I will be on my desktop, and the computer will just ramdomly shut off. As if you pulled the power plug was pulled. It has happend a few times and it wont POST properlly when I turn it back on. The fans work, but nothing is displayed on the monitor, and the keyboard 'leds wont light up. I am cleaning the inside now to see if that makes a difference, but I am thinking the power supply is the coulpret. Any ideas would be great, thanks!
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