The average number of words in a romance novel is 64,078 and the standard deviation is 17,005. 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( 64078 17005 b. Find the proportion of all novels that are between 53,875 and 65,779 words. c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 70% of romance novels have from words to words. (Round to the nearest word)

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The average number of words in a romance novel is 64,078 and the standard deviation is 17,005. 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 64078
17005
b. Find the proportion of all novels that are between 53,875 and 65,779 words.
c. The 95th percentile for novels is
words. (Round to the nearest word)
d. The middle 70% of romance novels have from
words to
words. (Round to the
nearest word)
Transcribed Image Text:The average number of words in a romance novel is 64,078 and the standard deviation is 17,005. 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 64078 17005 b. Find the proportion of all novels that are between 53,875 and 65,779 words. c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 70% of romance novels have from words to words. (Round to the nearest word)
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