In a survey of 1147 small-business owners, the following question was posed: Wou

Question

In a survey of 1147 small-business owners, the following question was posed: Would you recommend working with a significant other? Fifty-four percent of those polled answered in the affirmative, whereas 46% answered in the negative. Assuming that this result reflects the view of all small-business owners, what is the probability that at least 8 out of 10 small-business owners selected at random will opine that it would be unwise to work with the significant other? (Round your answer to four decimal places.)

Explanation / Answer

This would be a binomial distribution with parameters:

n = 10, p = 0.46

So,

P(Atleast 8)

= P(8) + P(9) + P(10)

= 0.0317

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