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 90% of all batteries have acceptable voltages. Let Y denote the number of batteries that must be tested.
a. What is p(2), that isP ( Y = 2), ?
b. What is p(3)? [Hint: There are two different outcomes that result inY = 3 .]
c. To have Y=5, what must be true of the fifth battery selected? List the four outcomes for which Y= 5 and then determine p(5).
d. Use the pattern in your answers for parts (a)–(c) to obtain a general formula for p(y).
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