Question

In a survey of 1147 small-business owners, the following question was posed: Would you recommend working with a significant other? Fifty-seven percent of those polled answered in the affirmative, whereas 43% 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.)

Answer 1

Probability of denial to working with a significant other ( P ) = 43% = 0.43

number of trials ( n ) =10,

a)

x= 8

we want to find P(x 8)

formula is

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

P(x 8) = 0.0171 + 0.0029 + 0.0002

P(x 8) = 0.0202

Probability = 0.0202