SHOW WORK TO GET FULL CREDIT Problem 3) This problem has two independent parts a) and...

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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) 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)