1. Some field representatives of the Environmental Protection Agency are doing spot checks of water pollution in streams. Historically, 8 out of 10 such tests produce favorable results, that is, no pollution. The field group is going to perform 6 tests and wants to know the chances of getting exactly 3 favorable results from this group of tests.

2. The length of stay of patients at a certain hospital in Cavite is 3 days with a standard deviation of 1.5 days. If a patient is selected at random, what is the probability that he/she will stay in the hospital for more than 5 days?

3. The manager of AYEBANK records the arrival of customers and on average; three customers arrive per minute at the bank during the noon to 1 P.M. hour.

4. Some field representatives of the Environmental Protection Agency are doing spot checks of water pollution in streams. Historically, 8 out of 10 such tests produce favorable results, that is, no pollution. The field group is going to perform 6 tests and wants to know the chances of getting more than 4 favorable results from this group of tests.

express your final answer on 4 decimal places