A new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries will be independently selected and tested until two acceptable ones have been found. Suppose that95%of all batteries have acceptable voltages. LetYdenote the number of batteries that must be tested.(a) What isp(2), that isP(Y= 2)? (Round your answer to four decimal places.) p(2) = (b) What isp(3)? [Hint:There are two different outcomes that result inY= 3.]. (Round your answer to three decimal places.) p(3) = (c) To haveY= 5, what must be true of the fifth battery selected?The fifth battery must be aU.The fifth battery must be anA. List the four outcomes for whichY= 5. (Enter your answer in set notation.)

Determinep(5). (Round your answer to five decimal places.) p(5) = (d) Use the pattern in your answers for parts (a)-(c) to obtain a general formula forp(y).