The average number of words in a romance novel is 64,227 and the standard deviation is 17,319. 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 60,763 and 71,154 words. c. The 95th percentile for novels is 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 64,227
and the standard deviation is 17,319. 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 60,763
and 71,154 words.
c. The 95th percentile for novels is
words.
(Round to the nearest word)
d. The middle 80% 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 64,227 and the standard deviation is 17,319. 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 60,763 and 71,154 words. c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 80% of romance novels have from words to words. (Round to the nearest word)
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