Suppose that 16% of the population of the U.S. is left-handed. If a random sample of 175 people from the U.S. is chosen, approximate the probability that fewer than 29 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.)

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