A company surveyed 2,600 North American airline passengers and reported that approximately 65% said that they carry a smartphone when they travel. Suppose that the actual percentage is 65%. 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 = 0.65. (Use SALT. Round your answers to four decimal places.) (a) Calculate p(4). Interpret this probability. the probability that a random sample of 6 passengers will contain at least 4 passengers who travel with a smartphonethe probability that a random sample of 6 passengers will contain at most 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 smartphonethe probability that a random sample of 6 passengers will contain more than 4 passengers who travel with a smartphonethe probability that a random sample of 6 passengers will contain less 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 ≥ 4).

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Description: A company surveyed 2,600 North American airline passengers and reported that approximately 65% said that they carry a smartphone when they travel. Suppose that the actual percentage is 65%. Consider randomly selecting six passengers and define the ra

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A company surveyed 2,600 North American airline passengers and reported that approximately 65% said that they carry a smartphone when they travel. Suppose that the actual percentage is 65%. 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 = 0.65.

(Use SALT. Round your answers to four decimal places.)

(a)

Calculate

p(4).

Interpret this probability.

the probability that a random sample of 6 passengers will contain at least 4 passengers who travel with a smartphonethe probability that a random sample of 6 passengers will contain at most 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 smartphonethe probability that a random sample of 6 passengers will contain more than 4 passengers who travel with a smartphonethe probability that a random sample of 6 passengers will contain less 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 ≥ 4).

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