There are 10 numbers in a hat, and you choose seven of them without replacement. Let X be the minimum of the seven numbers drawn, and Y be the maximum of the seven numbers drawn. a. Find the probability distribution for X.
b. Find the probability distribution for Y .
c. Find the expectation of Y X.

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?