Question

6) 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 is, P(Y = 2)?
b. What is p(3)? [Hint: There are two different outcomes that result in Y =
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). [17]

Answer 1

Answer:

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