A "shishi odoshi" is a Japanese yard decoration featuring ashort, cut piece of bamboo on a pivot. Water pours in one end ofthe bamboo, and when it gets close to full it falls over and dumpsitself out, making a popping sound when it hits the rock below.After it is emptied it swings back up to get refilled.

1) The amount of water in the bamboo at any timeis uniformly distributed: no one amount is any more likelythan any other. The most it can hold is 750 milliliters (mL), andit retains 100 mL in it at all times.

If I walk up and grab it at some random time, what is theprobability that it contains between 120 and 250 mL of water?

2) The amount of water in the bamboo at any timeis uniformly distributed: no one amount is any more likelythan any other. The most it can hold is 750 milliliters (mL), andit retains 100 mL in it at all times.

If I walk up and grab it at some random time, what is theprobability that it contains exactly 550 mL of water?

3) The amount of water in the bamboo at any timeis uniformly distributed: no one amount is any more likelythan any other. The most it can hold is 750 milliliters (mL), andit retains 100 mL in it at all times.

If I walk up and grab it at some random time, what is theprobability that it contains more than 600 mL of water?