A company surveyed 2,600 North American airline passengers and reported that approximately 55% said that they carry a smartphone when they travel. Suppose that the actual percentage is 55%. Consider...


A company surveyed 2,600 North American airline passengers and reported that approximately 55% said that they carry a smartphone when they<br>travel. Suppose that the actual percentage is 55%. Consider randomly selecting six passengers and define the random variable x to be the number of<br>the six selected passengers who travel with a smartphone. The probability distribution of x is the binomial distribution with n = 6 and p = 0.55. (Use<br>SALT. Round your answers to four decimal places.)<br>In USE SALT<br>(a) Calculate p(4).<br>Interpret this probability.<br>O the probability that a random sample of 6 passengers will contain at most 4 passengers who travel with a smartphone<br>O the probability that a random sample of 6 passengers will contain less than 4 passengers who travel with a smartphone<br>the probability that a random sample of 6 passengers will contain at least 4 passengers who travel with a smartphone<br>the probability that a random sample of 6 passengers will contain exactly 4 passengers who travel with a smartphone<br>O the probability that a random sample of 6 passengers will contain more than 4 passengers who travel with a smartphone<br>(b) Calculate p(6), the probability that all six selected passengers travel with a smartphone.<br>(c) Calculate P(x 2 4).<br>

Extracted text: A company surveyed 2,600 North American airline passengers and reported that approximately 55% said that they carry a smartphone when they travel. Suppose that the actual percentage is 55%. 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 = 0.55. (Use SALT. Round your answers to four decimal places.) In USE SALT (a) Calculate p(4). Interpret this probability. O the probability that a random sample of 6 passengers will contain at most 4 passengers who travel with a smartphone O the probability that a random sample of 6 passengers will contain less than 4 passengers who travel with a smartphone the probability that a random sample of 6 passengers will contain at least 4 passengers who travel with a smartphone the probability that a random sample of 6 passengers will contain exactly 4 passengers who travel with a smartphone O the probability that a random sample of 6 passengers will contain more than 4 passengers who travel with a smartphone (b) Calculate p(6), the probability that all six selected passengers travel with a smartphone. (c) Calculate P(x 2 4).

Jun 08, 2022
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