Question: Market research. A newspaper publisher claims that 70% of the people in a community read their newspaper. Doubting the assertion, a competitor randomly surveys 200 people in the community. Based on the publisher's claim (and assuming a binomial distribution):
(A) Compute the mean and standard deviation of the binomial distribution.
(B) Determine whether the rule-of-thumb test warrants the use of a normal distribution to approximate this binomial distribution.
(C) Calculate the approximate probability of finding at least 130 and no more than 155 readers in the sample.
(D) Determine the approximate probability of finding 125 or fewer readers in the sample.
(E) Use a graphing utility to graph the relevant normal distribution.