6. Cyclists over the age of 13 in MA do not have to wear helmets. Suppose you have data Helmet\\ Pass Pass Close Leave Space Total collected based on whether or not an adult No Helmet 35 40 cyclist is wearing a helmet and whether or not Helmet 49 56 Total automobiles pass close or leave additional space for the cyclist. The data is summarized in the table. Treat the counts collected as population formation to answer the questions: a) What is the probability a randomly selected cyclist is wearing a helmet? b What is the probability a randomly selected cyclist was passed close? C) What is the probability a randomly selected cyclist was wearing a helmet and he or she was passed close. What is the probability a randomly selected cyclist was wearing a helmet or he or she was passed close e What is the probability a randomly selected cyclist was wearing a helmet given that he or she was passed close? f) Are "passstatus" and "wearing a helmet" independent? Explain using a probability calculation. Are "pass status" and "wearing a helmet" mutually exclusive? Explain using a probability calculation What is the probability 2 randomly selected cyclists would both not be wearing helmets