Suppose that a scientist desires to estimate the proportion p of monarch butterflies that have a special type of marking on their wings.
(a) Suppose that he captures monarch butterflies one at a time until he has found five that have this special marking. If he must capture a total of 43 butterflies, what is the M.L.E. of p?
(b) Suppose that at the end of a day the scientist had captured 58 monarch butterflies and had found only three with the special marking. What is the M.L.E. of p?