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A survey conducted in 2011 asked employed adults from age 25 to 70 if they plan to keep a foot in the working world after

A survey conducted in 2011 asked employed adults from age 25 to 70 if they plan to keep a foot in the working world after retirement. Thirty-three percent of the respondents answered "very likely". A random sample of 75 adults from this age group was asked the same question. Using the normal approximation to the binomial distribution, what is the probability that more than 18 adults from this sample would very likely plan to keep a foot in the working world after retirement?

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