... .. 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 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 binomial distribution with n = 10 and p = 0.75. (Round your answers to three decimal places.) n USE SALT (a) Calculate p(7). P(7) = (b) Calculate P(x S 8). P(x S 8) = (c) Calculate the probability that more than half of the selected passengers travel with a smartphone.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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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 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 binomial distribution with n = 10 andp = 0.75. (Round your answers to three decimal places.)
n USE SALT
(a) Calculate p(7).
p(7) =
(b) Calculate P(x S 8).
P(x < 8) =
(c) Calculate the probability that more than half of the selected passengers travel with a smartphone.
Transcribed Image Text: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 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 binomial distribution with n = 10 andp = 0.75. (Round your answers to three decimal places.) n USE SALT (a) Calculate p(7). p(7) = (b) Calculate P(x S 8). P(x < 8) = (c) Calculate the probability that more than half of the selected passengers travel with a smartphone.
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