Please show all work :)

1. A civic rights group wants to determine if racial-profiling is occurring at airline security screenings. All passengers must pass through the airport scanners, but some passengers are selected for an additional search by hand. Data for the next 1000 passengers at the security checkpoint is collected and summarized in the table below. Searched by hand Not searched by hand Total Has a Middle Eastern surname 52 82 134 Does not have a Middle Eastern surname 165 701 a. What is the probability of Not being searched by hand? b . What is the probability of Not being searched by hand and having a Middle Eastern surname? c. What is the probability of Not being searched by hand or having a Middle Eastern surname? d. Knowing the person sitting next to you was Not searched by hand, what is the probability they have a Middle Eastern surname? e. What is the probability of Not being searched by hand if you have a Middle Eastern surname, P(Not searched middle eastern name)? f. Does it appear that there is an association between a Middle Eastern surname and Not being searched by hand? Explain/show your work