A 2015 study conducted by the National Center for Health Statistics found that 51​% of U.S. households had no landline service. This raises concerns about the accuracy of certain​ surveys, as they depend on​ random-digit dialing to households via landlines. Researchers pick tenten U.S. households at random. a) What is the probability that all tenten  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?

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A 2015 study conducted by the National Center for Health Statistics found that

51​% of U.S. households had no landline service. This raises concerns about the accuracy of certain​ surveys, as they depend on​ random-digit dialing to households via landlines. Researchers pick
tenten U.S. households at random.
a) What is the probability that all
tenten  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?

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The Multiplication Rule says that for independent events A and​ B, to find the probability that both events​ occur, multiply the probabilities together.
 
Upper P left parenthesis Upper A and Upper B right parenthesis equals Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B right parenthesisP(A and B)=P(A)×P(B)
 
This rule can be extended to more than two independent events by multiplying the probability of each event.
 
The set of outcomes that are not in the event A is called the complement of​ A, and is denoted
Upper A Superscript Upper CAC.
The Complement Rule says that the probability of an event not occurring is 1 minus the probability that it does occur.
 
Upper P left parenthesis Upper A Superscript Upper C Baseline right parenthesis equals 1 minus Upper P left parenthesis Upper A right parenthesis
fix it please only c
 
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