1. A marketing manager believes that 45% of the adult population of London prefer to grind their own co ee beans. A questionnaire on co ee preferences is answered by a random sample of 500 adults. (a) If the 45% assumption is true, nd the probability that more than 248 people in the sample prefer to grind their own co ee beans. (b) It turns out that only 200 adults in the sample prefer to grind their own co ee beans. i. Find the probability, if the marketing managers assumption was correct, of getting less than or equal to this number (i.e. 200 or fewer) in the sample. ii. On the basis of this probability and the sample result, what do you think of the marketing managers claim