A new battery\'s voltage may be acceptable (A) or unacceptable (U). A certain fl

Question

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 that 93% of all batteries have acceptable voltages. Let denote the number of batteries that must be tested. (a) What is pí2), that is PiY 2)? (Round your answer to four decimal places.) (b) What is p(3)? [Hint: There are two different outcomes that result in Y 3.]. (Round your answer to three decimal places.) P(3) 121 (c) To have Y 5, what must be true of the fifth battery selected? The fifth battery must beu Thefifthbattery ar . ust the four outcomes for which Y-5. (Enter your answer In set notation.) Op Determine p(5). (Round your answer to five declmal places.) p(5) =1.001187 (d) Use the pattern in your answers for parts (a)-(c) to obtain a general formula for py) Gre (y 1)(p(A ) )2(p(U))"-21x p(y) =

Explanation / Answer

General formula for P(Y) =

P(Y) = (y-1) * P(A)2 * P(U)(y-2)

The above formula can be written as below

P(Y=y) = (y-1) * P(A)2 * P(U)(y-2)

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