The average number of words in a romance novel is 64,235 and the standard deviation is 17,247. 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 50,437 and 60,785 words. c. The 90th percentile for novels is words. (Round to the nearest word)d. The middle 40% of romance novels have from words to words. (Round to the nearest word)
The average number of words in a romance novel is 64,235 and the standard deviation is 17,247. 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 50,437 and 60,785 words. c. The 90th percentile for novels is words. (Round to the nearest word)d. The middle 40% 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 64,235 and the standard deviation is 17,247. 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 50,437 and 60,785 words.
c. The 90th percentile for novels is words. (Round to the nearest word)
d. The middle 40% of romance novels have from words to words. (Round to the nearest word)
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