A fish bowl contains 10 guppies and 8 goldfish. Three fish are removed. Determine the probability distribution for the number of guppies removed.

1. A fish bowl contains 10 guppies and 8 goldfish. Three fish are removed. Determine the probability distribution for the number of guppies removed. Write the mathematical expression for each probability AND evaluate to 2 decimal places.

2. Suppose that Bayanisthol, a new drug, is effective 40% of the time in clinical trials. 

a) Calculate the probability that the new drug is effective exactly 9 or 10 times out of a sample of 30 people.

b) Determine the expected value number of trials that the new drug is effective in a sample of 30 people.  

c) Calculate the probability that the new drug is effective for at most 10 people out of a sample of 30 people. Round your answer to 4 decimal places. (Hint: Use the normal approximation.)