7.109 A new batterys voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two
Question:
7.109 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 80% of all batteries have acceptable voltages, and let y denote the number of batteries that must be tested.
a. What is p(2), that is, P(y 5 2)?
b. What is p(3)? (Hint: There are two different outcomes that result in y 5 3.)
c. In order to have y 5 5, what must be true of the fifth battery selected? List the four outcomes for which y 5 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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