Please describe solution in detail, especially the assumptions that must be made, ie. what the standard deviation is:
There is a blind taste test by 100 Michelob drinkers to choose between Michelob and Schlitz. It is believed that Michelob tastes identical to Schlitz, so there is a 50% chance that a Michelob drinker would choose Schlitz. If you need any additional assumptions, be sure to justify them.
a) What is the probability that at least 40 self-described Michelob drinkers choose Schlitz?
b) What is the probability that over 55 taste testers would choose Schlitz over Michelob?