On average, indoor cats live to 16 years old with a standard deviation of 2.6 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( 16 2.6 b. Find the probability that an indoor cat dies when it is between 14.5 and 18 years old. c. The middle 40% 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
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Please answer B & C. 

On average, indoor cats live to 16 years old with a standard deviation of 2.6 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 \( X \)? \( X \sim N( \)

\( \boxed{16} \)

, 

\( \boxed{2.6} \)

\()

b. Find the probability that an indoor cat dies when it is between 14.5 and 18 years old.

\( \boxed{\hspace{3cm}} \)

c. The middle 40% of indoor cats' age of death lies between what two numbers?

Low: \( \boxed{\hspace{3cm}} \) years

High: \( \boxed{\hspace{3cm}} \) years
Transcribed Image Text:On average, indoor cats live to 16 years old with a standard deviation of 2.6 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 \( X \)? \( X \sim N( \) \( \boxed{16} \) , \( \boxed{2.6} \) \() b. Find the probability that an indoor cat dies when it is between 14.5 and 18 years old. \( \boxed{\hspace{3cm}} \) c. The middle 40% of indoor cats' age of death lies between what two numbers? Low: \( \boxed{\hspace{3cm}} \) years High: \( \boxed{\hspace{3cm}} \) years
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