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Answer:
To determine the percentage of games Nayeli scores less than 128, the z-score for 128 is calculated using the mean and standard deviation, and the corresponding cumulative probability is found to be 27.9%, indicating the percentage of games she scores less than 128.Explanation:To find the percentage of games in which Nayeli scores less than 128, we can use the properties of the normal distribution. Given that the mean score is 135 and the standard deviation is 12, we can calculate the z-score for a score of 128. The z-score is found by the formula:z = (X - μ) / σWhere X is the score, μ is the mean, and σ is the standard deviation. Substituting the given values:z = (128 - 135) / 12 = -7 / 12 ≈ -0.5833The next step is to look up the cumulative probability for this z-score in the standard normal distribution table or use a calculator with normal distribution functions. The cumulative probability associated with a z-score of -0.5833 corresponds to approximately 27.9%. Therefore, Nayeli scores less than 128 in about 27.9% of her games, to the nearest tenth.
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