A company surveyed 2,600 North American airline passengers and reported that approximately 70% said that they carry a smartphone when they travel. Suppose that the actual percentage is 70%. 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 = 0.7. (Round your answers to three decimal places.)     (a) Calculate p(8). p(8) = (b) Calculate P(x ≤ 6). P(x ≤ 6) = (c) Calculate the probability th

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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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 70% said that they carry a smartphone when they travel. Suppose that the actual percentage is 70%. 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 = 0.7.

(Round your answers to three decimal places.)

 

 

(a)
Calculate p(8).
p(8) =
(b)
Calculate P(x ≤ 6).
P(x ≤ 6) =
(c)
Calculate the probability that more than half of the selected passengers travel with a smartphone.
 
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