(a)A marketing company is conducting an experiment in which participants are to taste one of two different brands of coffee. Their task is to correctly identify the brand tasted. A random sample of 150 participants is taken and it is assumed that the participants have no ability to distinguish between the two brands.

(i) What is the probability that the sample percentage of correct identifications is greater than 70?

(ii) What is the probability that the sample will have between 40% and 50% of the identifications correct?