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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
- Probability In Exercises 77-80, consider n independent trials of an experiment in which each trial has two possible outcomes: “success” or “failure.” The probability of a success on each trial is p, and the probability of a failure is q=1p. In this context, the term Cnkpkqnk in the expansion of p+qn gives the probability of k successes in the n trials of the experiment. The probability of a sales representative making a sale with any one customer is 13. The sales representative makes eight contacts a day. To find the probability of making four sales, evaluate the term C84134234 in the expansion of 13+238.arrow_forwardAverage 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_forwardConditional probability About 25 of the population watches the evening television news coverage as well as the soap operas. If 75 of the population watches the news, what percent of those who watch the news also watch the soaps?arrow_forward
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