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Probability In Exercises 73 and 74, approximate the probability with an error of less than 0.0001, where the probability is given by
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Calculus: Early Transcendental Functions
- Average Traffic Spacing The headway h is the average time between vehicles. On a highway carrying an average of 500 vehicles per flour, the probability P that the headway is at least t seconds is given by P=0.87t. a. What is the limiting value of P? Explain what this means in practical terms. b. The headway h can be calculated as the quotient of the spacing f, in feet, which is the average distance between vehicles, and the average speed v, in feet per second, of traffic. Thus, the probability that spacing is at least f feet is the same as the probability that the headway is at least f/v seconds. Use function composition to find a formula for the probability Q that the spacing is at least f feet. Note: Your formula will involve both f and v. c. If the average speed is 88 feet per second 60 miles per hour, what is the probability that the spacing between two vehicles is at least 40 feet?arrow_forwardDetermine if the statement is true or false. If the statement is false, then correct it and make it true. The probability that an event occurs can be a negative number.arrow_forwardAssume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.arrow_forward
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- EXERCISES Which of Exercises 5964are examples of empirical probability? The probability that a person is allergic to penicillinarrow_forwardFor the following exercises, assume two die are rolled. 50. What is the probability that a roll includes a 2 or results in a pair?arrow_forwardFor the following exercises, assume two die are rolled. 51.What is the probability that a roll doesn’t include a 2 or result in a pair?arrow_forward
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