Imagine that it is possible to design cells of varying size. A cell is to be designed with a membrane that has a stable number of open channels. To this end, the number of channels must meet the following condition: the standard deviation of the number of open channels shall be no more than one percent of the expected number of open channels. (a) In terms of p and q, give the formula for M, where M is the minimum number of channels that the cell must have. (b) Assuming a spherical cell, give a formula for a, where a is the minimum radius that the cell must have to hold the required number of channels, at density D. (answer must be in terms of q, D and p, and constants only). (c) What is the minimum radius, a, that the cell must have to hold the required number of channels if the probability p is fixed at 0.05 and D is 200 channels per μm2? This is just review so if anyone could help me figure out this problem i would appreciate it. I know the answer to c is 8.69um, but unsure how to reach that result.