question 8 A random sample of 200 new vehicle buyers were asked to respond to a surveyabout what kind of vehicle they purchased. One question asked each respondentto choose the vehicle that best described the type of vehicle they purchased, theanswers are summarized below.MaleFemaleTotalCar343771Truck14317SUV302353Van211738Other13821Find the probability that a customer chosen at random purchased a car.Find the probability that a customer chosen at random is male and bought a car.Find the probability that a customer chosen at random is female or bought a van.Find the probability that a male customer chosen at random purchased a SUV.Important:• Round the probability to 3 decimal places, then convert to a percentage, includingthe percentage sign. For instance, your final answer could look like 65.9%.. On your scratch paper:o For each probability, write the fraction and all your work.Tota11288200

Given that Car = 71 , Male = 112 , Van = 38 , SUV = 53 , Total = 200 Note : According to bartleby experts question answers guidelines an expert can solve only first three sub parts of one question rest can be reposted.A) P(Car) = Car / Total = 71 / 200 = 0.355 B) P(Male and Car) = Male and Car / Total = 34 / 200 = 0.17 C) P(Female or Van) = P(Female) + P(Van) - P(Female and Van) = (88/200) + (38/200) - (17/200) = 0.545