175 random people were surveyed at an amusement park and asked if they ride roller coasters and if they play games while at the park. 91 of those surveyed ride roller coasters. 126 of those surveyed play games. 56 of those surveyed ride roller coasters and play games. a) Construct a Venn diagram illustrating the probability distribution of the outcomes. b) What is the probability a person at the amusement park does not ride roller coasters nor does he/she play games?c) What is the probability a person at the amusement park does not play games?d) Are the events of a person riding roller coasters and playing games mutually exclusive? Explain.