What is the probability that x is between 3 and 6, given the function below? f(x) = (1/10) e^-^x^/10 x 0 A) 0.4512 B) 0.1920 C) 0.2592 D) 0.6065

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Quizplus · Accepted Answer

To find the probability that x is between 3 and 6, we need to integrate the given function from 3 to 6 and then divide by the total area under the curve. Since the given function is not easily integrable, we can use numerical methods to approximate the integral. Using a calculator or software, we find that the integral of the function from 3 to 6 is approximately 0.1920. To find the total area under the curve, we can integrate the function from negative infinity to infinity, which gives us a value of 1 (since the function is a probability distribution). Therefore, the probability that x is between 3 and 6 is approximately 0.1920/1 = 0.1920. So the best choice is B.

What Is the Probability That X Is Between 3 and 6