In a poll conducted on February 3 through 18 in 2021  41% of the United States was found to be Independent in political party affiliation. If you survey 10 Americans, determine the answers to the following questions.  what is the probability that more than 8 of the people surveyed are independent

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In a poll conducted on February 3 through 18 in 2021  41% of the United States was found to be Independent in political party affiliation. If you survey 10 Americans, determine the answers to the following questions.  what is the probability that more than 8 of the people surveyed are independent

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Step 1: Introduce the given information

According to the given information,

Probability of success, p = 41% = 0.41

Sample size, n = 10

Let X be a random variable represents the number of people are independent.

Using formula (Binomial probability distribution),

P left parenthesis X equals r right parenthesis equals C presuperscript n subscript r cross times left parenthesis p right parenthesis to the power of r cross times left parenthesis 1 minus p right parenthesis to the power of n minus r end exponent

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