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Please make your hand writing clear and understandable.
Awarding road contracts. A state Department of Transportation (DOT) recently claimed that each of five bidders received equal consideration in the awarding of two road construction contracts and that, in fact, the two contract recipients were randomly selected from among the five bidders. Three of the bidders were large construction conglomerates and two were small specialty contractors, Suppose that both contracts were awarded to large construction conglomerates. a. b. What is the probability of this event occurring if, in fact, the DOTs claim is true? Is the probability computed in part a inconsistent with the DOTs claim that the ection was random?
Question 2 10 points Save Anss of the more interesting factors studied, age of the driver, was found to have a strong relationship to in ry tate. The article reports that pior to a safety-awareness p gram 12% of the ATV driven were under age 12; another l 5% were 12-15, and 48% were under age 25. Sppose an ATV driver is selected at random prior to the installation of te aley awa messprgam a. Find the probability that the ATV driver is 15 years old or younger. b. Find the probability that the ATV driver is 25 years old or older c. Given that the ATV driver is under ape 25, what is the probability the driver is under age 127 d. Are the events Under age 25 and Under age 12 mutually exclusive? Why or why not?
Moving to another question will save this response. Question 3 of 5 uestion 3 10 points Save Answer The National Acronautics and Space Administration (NASA) purchased a new solar-powered battery guaranteed to have a failure rate of only 1 in 20. A new system to be used in a space vehicle operates on one of these batheries. To increase the reliability of the system, NASA installed three batteries,cach designed to operate if the preceding batteries in the chain fail. If the system is operated n a practical situation, what is the probability that all three batteries would fail?
Question 4 10 points Save Answer According to the National Highway Traffic and Safety Administrations National Center for Statistics and Analysis (NCSA), Speeding is one of the most prevalent factors contributing to fatal traffic crashes (NHTSA Technical Report, Aug 20os). The probability that speeding is a cause of a fatal crash is 3. Furthermore, the probability that speeding and missing a curve are causes of a fatal crash is .12. Given that speeding is a cause of a fatal crash, what is the probability that the crash occurred on a curve?
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