Passenger car Light truck Large truck Motorcycle 106 Bus 31 her or unknown 19 0 439 500 1,000 1,500 2,000 2,500 3,000 Number of vehicles in thousands 3,500 3,801 4,000 4,748 4,500 5,000 5,500 Probability The datafile linked below summarizes the number of traffic accidents in the USA in 2020 split across the vehicle chasis type. Take the probability of any given crash involving a particular chasis/body type as the relative frequency (percentage) of crashes that did in this dataset. The probability of an individual being male based on this dataset is 0.4948 and the probability of being female is 0.5052 (a) What is the probability that a randomly selected accident involved a bus? (b) What's probability two randomly selected accidents involve at least 1 light truck. (c) Given a crash did not involve a passenger car, what's the probability it involved a light truck. (d) Assuming the accidents are selected independently, what's the probability a sample of 20 randomly selected accidents contain atleast 5 that involve passenger cars? (e) What's the expected number of accidents in a randomly, independetly selected sample of 20 that invovle buses?

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