Find the probability that a particular set of eight consecutive points will fall on one side of the center line for a process that is in control.
(Hints: For a process that is in control, assume that the probability is 0.5 that a point is on the same side as the first point, and these are independent.You may therefore compute the probability for a binomial distribution with π ¼0.5 and n¼7. You would use n¼7 instead of n¼8 because the first point of the sequence is free to fall on either side, so the situation is really determined by the seven other points.)