PLEASE PAY SPECIAL ATTENTION TO AMOUNT OF DECIMAL PLACES THAT ANSWERS NEED TO BE

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PLEASE PAY SPECIAL ATTENTION TO AMOUNT OF DECIMAL PLACES THAT ANSWERS NEED TO BE ROUNDED TO! THANKS!!

A tube of Listerine Tartar Control toothpaste contains 4.2 ounces. As people use the toothpaste, the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. From this information, we can determine the following information about the amount remaining in a toothpaste tube without invading anyone’s privacy.

How much toothpaste would you expect to be remaining in the tube? (Round your answer to 1 decimal place.)

What is the standard deviation of the amount remaining in the tube? (Round your answer to 3 decimal places.)

What is the likelihood there is less than 3.0 ounces remaining in the tube? (Round your answer to 4 decimal places.)

What is the probability there is more than 1.5 ounces remaining in the tube? (Round your answer to 4 decimal places.)

A tube of Listerine Tartar Control toothpaste contains 4.2 ounces. As people use the toothpaste, the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. From this information, we can determine the following information about the amount remaining in a toothpaste tube without invading anyone’s privacy.

Explanation / Answer

a. EV = (a+b)/2 = (0+4.2)/2 = 2.1 oz

b. sd = (a + b)/12 = 4.2//12 = 1.21 oz

c. p(x < 3) = 3/4.2 = 0.7143

d p(x > 1.5) = 1 - (1.5/4.2) = 1 - 0.36 = 0.6429

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