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).

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.