Question

A machine fills soda cans with a sugary beverage. The amount of liquid is distributed uniformly...

A machine fills soda cans with a sugary beverage. The amount of liquid is distributed uniformly between 350 and 360 ml.

1. Find the probability that a randomly purchased soda can would have exactly 355 ml.

2. Find the probability that a randomly purchased soda can would less than 355 ml.

3. Find the probability that a randomly purchased soda can would have more than 357 ml.

4. Find the probability that a randomly purchased soda can would have more than 353 ml. but less than 356 ml.

5. Assume that soda cans have a maximum capacity of 359.5 ml. What is the proportion of cans that will be overfilled in any given day?

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