SHOW WORK TO GET FULL CREDIT Problem 3) This problem has two independent parts a) and b) a) (6 points) A gasoline tank for a certain vehicle is designed to hold 16 gallons of gas. Suppose that the actual capacity of a randomly selected tank has a distribution that is approximately Normal with a mean of 16.0 gallons and a variance of 0.0256 gallons?. The manufacturer of this gasoline tank considers the largest 2% of these tanks too large to put on the market. How large does a tank have to be to be considered too large? (Round your answer to 2 decimal places) (Show work). b) (4 points) The number of telephone calls that arrive at a phone exchange is a random variable that follows a Poisson distribution. The expected number of calls per hour at the exchange is 4. What is the mean time between consecutive telephone calls? (Show work)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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SHOW WORK TO GET FULL CREDIT
Problem 3) This problem has two independent parts a) and b)
a) (6 points) A gasoline tank for a certain vehicle is designed to hold 16 gallons of gas. Suppose that the actual
capacity of a randomly selected tank has a distribution that is approximately Normal with a mean of 16.0 gallons and
a variance of 0.0256 gallons?. The manufacturer of this gasoline tank considers the largest 2% of these tanks too
large to put on the market. How large does a tank have to be to be considered too large? (Round your answer to 2
decimal places) (Show work).
b) (4 points) The number of telephone calls that arrive at a phone exchange is a random variable that follows a
Poisson distribution. The expected number of calls per hour at the exchange is 4. What is the mean time between
consecutive telephone calls? (Show work)
Transcribed Image Text:SHOW WORK TO GET FULL CREDIT Problem 3) This problem has two independent parts a) and b) a) (6 points) A gasoline tank for a certain vehicle is designed to hold 16 gallons of gas. Suppose that the actual capacity of a randomly selected tank has a distribution that is approximately Normal with a mean of 16.0 gallons and a variance of 0.0256 gallons?. The manufacturer of this gasoline tank considers the largest 2% of these tanks too large to put on the market. How large does a tank have to be to be considered too large? (Round your answer to 2 decimal places) (Show work). b) (4 points) The number of telephone calls that arrive at a phone exchange is a random variable that follows a Poisson distribution. The expected number of calls per hour at the exchange is 4. What is the mean time between consecutive telephone calls? (Show work)
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