The average number of words in a romance novel is 64,209 and the standard deviation is 17,495. 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 50,213 and 65,959 words. c. The 90th 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)   On average, indoor cats live to 14 years old with a standard deviation of 2.2 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.a.  What is the distribution of X? X ~ N(,)b. Find the probability that an indoor cat dies when it is between 9.3 and 11.1 years old. c.  The middle 50% of indoor cats' age of death lies between what two numbers?     Low:  years     High:  years

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 64,209 and the standard deviation is 17,495. 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 50,213 and 65,959 words. 

c. The 90th 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)

 

On average, indoor cats live to 14 years old with a standard deviation of 2.2 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.

a.  What is the distribution of X? X ~ N(,)

b. Find the probability that an indoor cat dies when it is between 9.3 and 11.1 years old. 

c.  The middle 50% of indoor cats' age of death lies between what two numbers?
     Low:  years
     High:  years

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