A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone when they travel. Suppose that the actual percentage is 75%. Consider randomly selecting six passengers and define the random variable x to be the number of the six selected passengers who travel with a smartphone. The probability distribution of x is the binomial distribution with  n = 6  and  p = 0.75.   (a)Calculate p(4).   (b)Calculate p(6), the probability that all six selected passengers travel with a smartphone

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A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone when they travel. Suppose that the actual percentage is 75%. Consider randomly selecting six passengers and define the random variable x to be the number of the six selected passengers who travel with a smartphone. The probability distribution of x is the binomial distribution with 
n = 6
 and 
p = 0.75.
 
(a)Calculate p(4).
 
(b)Calculate p(6), the probability that all six selected passengers travel with a smartphone.
 
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