Understanding Probability & Statistics

[Execute]

Hey everyone!

I had the following problem on mt test & still can't figure out how to do it. Please help me understand it.

Question: A computer has a 32-bit register. The current drawn from the power supply is
i = 0.1 + 0.05k(micro amperes), where k is the number of 1's in the register. Under normal operating conditions, 1's and 0's are equally likely and independent throughout the register. Find the probability that the current falls between 1.2 & 1.4 (micro amperes), inclusive.

Thanks everyone.

 

[quantumdude]

You really are supposed to explain your own thoughts before receiving help here, but I'll start you off by saying that you should use the bounds on the current to find bounds on k.