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
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please answer B & C.
![On average, indoor cats live to 16 years old with a standard deviation of 2.6 years. Suppose that the
= the age at death of a randomly selected indoor cat. Round answers to 4
distribution is normal. Let X
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0017d92f-fd5a-4a34-8e16-36b3a20e3d6d%2Ff029cd65-77b2-4f9e-9b0a-5eb4a8a05ae5%2F8hcstjp_processed.png&w=3840&q=75)
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