Sampling Distribution?

Question

Say I am throwing a party with 63 ounces of punch. The expected size of each cup of punch is ounces and the standard deviation is 0.5 ounce. each cup poured independently. want to know probability that the bowl is not empty after 36 cups poured.
a. Use Chebyshev's inequality to calc upper limit of prob.
b. what distr does the central limit thorem suggset would approximate the prob distr of number of ounces needed for 36 cups. use it to calc the prob the bowl wont be empty.

Answer 1

We need to know what the expected size of each cup is (in your problem, you left out the number). Once this is known, the problem isnt all that hard.