A company surveyed 2,600 North American airline passengers and reported that approximately 70% said that they carry a smartphone when they travel. Suppose that the actual percentage is 70%. Consider randomly selecting ten passengers and define the random variable x to be the number of the ten selected passengers who travel with a smartphone. The probability distribution of x is the binomia distribution with n = 10 and p = 0.7. (Round your answers to three decimal places.) (a) Calculate p(7). P(7) = 0.267 (b) Calculate P(x ≤ 8). P(x ≤ 8) = 0.851 (c) Calculate the probability that more than half of the selected passengers travel with a smartphone. X

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