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A company that manufactures Brand X water filters claims that 75% of households in the state of Nevada use Brand X as their water filter.

A company that manufactures Brand X water filters claims that 75% of households in the state of Nevada use Brand X as their water filter. Use the continuity correction to find the probability of finding less than 65 households out of a random sample of 100 households that use Brand X. Round your answer to three decimal places

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