Long story problem. Please disregard the storytelling portion.

bridge space-time in the multiverse of unstable mental states was found to be gaussian with a standard deviation in phase and amplitude of om_p_;m53 = ogmmm\" = 2 mW along a radius r from the constellation point. If the radius from the intended point is 4 mW or greater (4 mW away from the value it's supposed to have in a perfect transmission) it will be interpreted as the wrong symbol and produce a symbol error resulting in the fast enough to be fast but slow enough to increase the dramatic value dematerialization of an arbitrary number of carbon based lifefoims. This must be prevented (or at least mitigated until time-space can be looped back on itself creating a defacto deus ex machina resolution and revealing that it was Agatha all along!). Only the answer to the following questions can prevent this fate. The multiverse is depending on you. (a) What is the probability of a symbol error\":JI (b) What is the probability of no symbol error?I (c) What is the expected value of r (the expected value of the error)? (d) What is the variance of r? (e) What would the standard deviation need to be to have the expected value of r = 1