On average, indoor cats live to 13 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.

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On average, indoor cats live to 13 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 12.7 and 16.7 years old. 

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