It is reported that 41% of American households use a cell phone exclusively for their telephone...

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It is reported that 41% of American households use a cell phone exclusively for their telephone...

It is reported that 41% of American households use a cell phone exclusively for their telephone service. In a sample of eight households,

Find the probability that no household uses a cell phone as their exclusive telephone service. (Round your answer to 4 decimal places.)

Find the probability that exactly five households exclusively use a cell phone for telephone service. (Round your answer to 4 decimal places.)

Find the mean number of households exclusively using cell phones. (Round your answer to 2 decimal places.)

math Statistics-And-Probability

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Answer 1

Answer #1

This will be a binomial distribution with parameters:

n = 8, p = 0.41

Hence,

a) P(X = 0)

= (1 - 0.41)⁸

= 0.59⁸

= 0.0147

b) P(X = 5)

= 0.1332

c) Mean number of households = np = 8(0.41) = 3.28

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Answer 2

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