On average, indoor cats live to 12 years old with a standard deviation of 2.3 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 8.2 and 10.4 years old. c. The middle 20% of indoor cats' age of death lies between what two numbers?

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
icon
Related questions
Question
On average, indoor cats live to 12 years old with a standard deviation of 2.3 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 8.2 and 10.4 years old.
c. The middle 20% of indoor cats' age of death lies between what two numbers?
Low:
years
High:
years
Transcribed Image Text:On average, indoor cats live to 12 years old with a standard deviation of 2.3 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 8.2 and 10.4 years old. c. The middle 20% of indoor cats' age of death lies between what two numbers? Low: years High: years
Expert Solution
steps

Step by step

Solved in 4 steps with 12 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt