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.) n 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 O the probability that a random sample of 6 passengers will contain at least 4 passengers who travel with a smartphone O 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).
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.) n 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 O the probability that a random sample of 6 passengers will contain at least 4 passengers who travel with a smartphone O 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).
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image 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).
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