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Please show all work and explain. 1. In a certain region, we have 53% people achieving something. Find the probability that of a large #

Please show all work and explain.

1. In a certain region, we have 53% people achieving something. Find the probability that of a large # of people from this population satisfy the conditions as a number in the interval 40 is less than or equal to X which is less than or equal to 92. Use the normal approximation to the binomial.

Define and use a random variable.

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