Could use some assistance with this one. In a survey of 1147 small-business owne

Question

Could use some assistance with this one.

In a survey of 1147 small-business owners, the following question was posed: Would you recommend working with a significant other? Fifty-five percent of those polled answered in the affirmative, whereas 45% 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?

Explanation / Answer

n = 10

p = 0.45

it is a binomial distribution

P(X = x) = nCx * px * (1 - p)n - x

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

              = 10C8 * (0.45)^8 * (0.55)^2 + 10C9 * (0.45)^9 * (0.55)^1 + 10C10 * (0.45)^10 * (0.55)^0

              = 0.0274

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