The average number of words in a romance novel is 64,484 and the standard deviation is 17,144. Assume thé 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 54,198 and 64,484 words. c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 60% of romance novels have from words to words. (Round to the nearest word)

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Need help with a normal distribution problem. All parts. Any additional help with the ti-84 plus calculator would be great if known. Round to 4 decimals where possible please. Thank you! 

The average number of words in a romance novel is 64,484 and the standard deviation is 17,144. Assume thé
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 54,198 and 64,484 words.
c. The 95th percentile for novels is
words. (Round to the nearest word)
d. The middle 60% of romance novels have from
words to
words. (Round to the
nearest word)
Hint:
Transcribed Image Text:The average number of words in a romance novel is 64,484 and the standard deviation is 17,144. Assume thé 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 54,198 and 64,484 words. c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 60% of romance novels have from words to words. (Round to the nearest word) Hint:
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