The average number of words in a romance novel is 64,147 and the standard deviation is 17,387. 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 55,453 and 69,363 words. c. The 85th 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)
The average number of words in a romance novel is 64,147 and the standard deviation is 17,387. 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 55,453 and 69,363 words. c. The 85th 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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average number of words in a romance novel is 64,147 and the standard deviation is 17,387. 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 55,453 and 69,363 words.
c. The 85th 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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