You are planning to interview 350 consumers randomly selected from a large list of likely sales prospects, in order to assess the value of this list and whether you should assign salespeople the task of contacting them all. Assuming that 13% of the large list will respond favorably, find (approximate) probabilities for the following:
a. More than 10% of randomly selected consumers will respond favorably.
b. More than 13% of randomly selected consumers will respond favorably.
c. More than 15% of randomly selected consumers will respond favorably.
d. Between 10% and 15% of randomly selected consumers will respond favorably.