An experiment consists of randomly selecting students crossing drill field and asking them for the location of their home towns.
a. Supposing that 18% of students are out-of-state residents, determine the probability that an out-of-state student will be chosen in the first eight attempts?
b. Determine the probability that it needs more than ten attempts to find out an out-of-state student given that the first four students chosen are in-state residents?
c. What is the probability that the third out-of-state will be the 16th student selected?
d. Determine the probability that the fourth out-of-state student is found after the 20th trial given that the second out-of-state student is found on the 12th trial?