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Simmons Luna
08/09/2024 · Junior High School

The average number of words in a romance novel is 64,257 and the standard deviation is 17,456 . Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? X - N b. Find the proportion of all novels that are between 57,275 and 69,494 words. c. The 85 th percentile for novels is d. The middle \( 40 \% \) of romance novels have from (Round to the nearest word) nearest word)

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a. \( X \sim N(64257, 17456^2) \) b. Proportion between 57,275 and 69,494 words: \( 0.2733 \) c. The 85th percentile for novels: \( 82324 \) d. The middle 40% of romance novels have from \( 55100 \) to \( 73357 \) words.

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