For n successive Bernoulli trials with probability p of success on each trial, the mean number of successes u is given by u= np, and the standard deviation for the number of successes is given by o= /np(1-p). Use this formula to solve the following problem. A fair coin is tossed 64 times. We know that the mean number of times heads appears is u= np = (64)(0.5) = 32. a) Find the standard deviation o. b) Find the probability that the number of heads appearing is within 1 standard deviation of the mean. That is, if random variable X= the number of times that heads appears, find P(u -asXsu+o).

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