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4. In 2019 the National Collegiate Athletic Association (NCAA) compared collegiate football players, collegiate hockey players, and collegiate track and field athletes with respect to

4. In 2019 the National Collegiate Athletic Association (NCAA) compared collegiate football players, collegiate hockey players, and collegiate track and field athletes with respect to history of major injuries. The following contingency table is the result of classifying each college student in independently selected random samples of 70 football players, 55 hockey players, and 33 track and field athletes according to the number of major injuries the student reported on a medical history questionnaire. Football players Hockey players Track and field athletes Total No major injuries 38 18 25 81 One major injury 18 15 5 38 Two major injuries 11 17 3 31 Three or more major injuries 3 5 0 8 Total 70 55 33 158 (a) Which percentage of the sampled students are not hockey players? (b) Which percentage of the sampled students are track and field athletes and had one major injury? (c) Which percentage of the sampled students are hockey players or had two major injuries (or both)? (d) Which percentage of the sampled students had one or more major injuries? (e) Which percentage of the sampled football players had two major injuries? (f) Are the events "the student is a hockey player" and "the student had three or more major injuries" independent? Explain using the definition of independent events. (g) Are the two events in part (f) mutually exclusive? Explain. 5. A warehouse in Anchorage ships 60% of its overnight packages using FedEx and 40%

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