A highway traffic safety organization collects traffic safety-related date for a certain country. Suppose according to their data, 10,421 fatal collisions in a certain year were the result of collisions with fixed objects. The following table provides more information on these collisions. (Round your numeric answers to four decimal places.) Fixed Object Involved in Collision Number of Collisions Pole/post 1,415 Culvert/curb/ditch 2,515 Shrubbery/tree 2,586 Guardrail 894 Embankment 945 Bridge 230 Other/unknown 1,836 Assume that a collision will be randomly chosen from this population. (a) What is the probability of a fatal collision with a pole or post? (b) What is the probability of a fatal collision with an embankment? (c) What type of fixed object is least likely to be involved in a fatal collision? What is the probability associated with this type of fatal collision? The object that is least likely to be involved in a fatal collision is [---Select-.- with probability (d) What type of object is most likely to be involved in a fatal collision? What is the probability associated with this type of fatal collision? The object that is most likely to be involved in a fatal collision is [--Select--- with probabilityAssume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) = 0.40. (a) What is P(A n B)? F(A n B) = (b) What is P(A | B)? P(A | B) = (c) A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. ARE/ARE NOT AGREE/DISAGREE Events A and B ---Select--- V independent because ---Select-.- therefore I ---Select-- V with the student. -Select-- P(A| B) = P(A) (d) What general conclusion would you make about mul p(A B) = P(A) d independent events given the results of this problem? P(A | B) = P(B) Mutually exclusive events are [---Select-- P(A | B) = P(B Submit