According to the Insurance Research Council, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the probability that less than two of these drivers are uninsured?

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Quizplus · Accepted Answer

The probability that less than two drivers are uninsured can be calculated using the binomial probability formula. For 0 uninsured drivers, P(X=0) = (0.86)^7. For 1 uninsured driver, P(X=1) = 7 * (0.86)^6 * (0.14). Adding these probabilities gives the total probability of less than two drivers being uninsured, which is approximately 0.7444.