7) Binomial Distribution: According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will cover his or her mouth with a tissue, handkerchief, or elbow (The method recommended by public health officials) when sneezing is 0.047! Suppose you sit on a bench in a mall and observe 15 people's habit as they sneeze. Round to 4 decimals. a. Determine the probability that among the 15 observed sneezing, exactly 2 cover their mouth with a tissue, handkerchief, or elbow. b. What is the probability that among 15 randomly observed sneezing individuals fewer than 3 cover their mouth with a tissue, handkerchief, or elbow? c. Find the probability that between 3 to 5, inclusive, cover their mouth with a tissue, handkerchief, or elbow. d. Would it be unusual if, after observing 15 sneezing individuals, more than 2 cover their mouth with a tissue, handkerchief, or elbow? Note: we will consider unusual cases to be less 5% = 0.05