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?

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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
Step 1: Given information

Given:

mu = 12 years

sigma = 2.3 years

Formula Used:

straight Z space equals space fraction numerator straight X minus straight mu over denominator straight sigma end fraction

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