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

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 Y denote the number of batteries that must be tested.

The fifth battery must be an A.The fifth battery must be a U.

List the four outcomes for which Y = 5. (Enter your answer in set notation.)

.00119

  

Determine p(5). (Round your answer to five decimal places.)


(d) Use the pattern in your answers for parts (a)–(c) to obtain a general formula for p(y).

p(y)

Explanation / Answer

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 Y denote the number of batteries that must be tested.

The fifth battery must be an A.The fifth battery must be a U.

List the four outcomes for which Y = 5. (Enter your answer in set notation.)

.00119

  

Determine p(5). (Round your answer to five decimal places.)


(d) Use the pattern in your answers for parts (a)–(c) to obtain a general formula for p(y).

p(y)

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