Arecent study conducted by a health statistics center found that 27% of households in a certain country had no landline service. this raises concerns about the accuracy of certain surveys, as they depend on random-digit dialing to households via landlines. pick three households from this country at random. complete parts a) through c) belowa) what is the probability that all five of them have a landline?
b) what is the probability that at least one of them does not have a landline?
c) what is the probability that at least one of them does have a landline?

The probability that all five of them have a landline is 20.73%.

The probability that at least one of them does not have a landline 79.27%.

The probability that at least one of them does have a landline is 99.86%.

Step-by-step explanation:

Consider the provided information.

A recent study conducted by a health statistics center found that 27% of households in a certain country had no landline service.

let p is the probability that they have land line p=0.73

let q is the probability that they have no land line: q=0.27

(a) What is the probability that all five of them have a landline?

The probability that all five of them have a landline is 20.73%

(b) What is the probability that at least one of them does not have a landline?

P(at least one no landline) = 1-P(All have landline)

P(at least one no landline) = 1-0.2073

P(at least one no landline) = 0.7927

The probability that at least one of them does not have a landline 79.27%.

(c) What is the probability that at least one of them does have a landline?

P(at least one have landline) = 1-P(no one have landline)

P(at least one have landline) =

P(at least one have landline) =

The probability that at least one of them does have a landline is 99.86%.

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