A company surveyed 2,600 North American airline passengers and reported that approximately 60% said that they carry a smartphone when they travel. Suppose that the actual percentage is 60%. 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=0.6. (Round your answers to three decimal places.) (a) Calculate p(5). USE SALT P(5)-246 x (b) Calculate P(x 57). P(x 57)= (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 60% said that they carry a smartphone when they travel. Suppose that the actual percentage is 60%. 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=0.6. (Round your answers to three
decimal places.)
(a) Calculate p(5).
P(5) = 246
USE SALT
(b) Calculate P(x ≤7).
P(X ≤7) =
(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 60% said that they carry a smartphone when they travel. Suppose that the actual percentage is 60%. 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=0.6. (Round your answers to three decimal places.) (a) Calculate p(5). P(5) = 246 USE SALT (b) Calculate P(x ≤7). P(X ≤7) = (c) Calculate the probability that more than half of the selected passengers travel with a smartphone.
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