(a) What is p(2), that is P(Y = 2)? (Round your answer to four decimal places.) p(2) = | (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) = | (c) To have Y = 5, what must be true of the fifth battery selected? O The fifth battery must be a U. O The fifth battery must be an A. List the four outcomes for which Y = 5. (Enter your answer in set notation.) Determine p(5). (Round your answer to five decimal places.) P(5) =

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 95% 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)? (Round your answer to four decimal places.)
P(2) =
(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) =
(c) To have Y = 5, what must be true of the fifth battery selected?
O The fifth battery must be a U.
O The fifth battery must be an A.
List the four outcomes for which Y = 5. (Enter your answer in set notation.)
Determine p(5). (Round your answer to five decimal places.)
p(5) =
(d) Use the pattern in your answers for parts (a)-(c) to obtain a general formula for p(y).
p(y) =
Transcribed Image Text: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 95% 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)? (Round your answer to four decimal places.) P(2) = (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) = (c) To have Y = 5, what must be true of the fifth battery selected? O The fifth battery must be a U. O The fifth battery must be an A. List the four outcomes for which Y = 5. (Enter your answer in set notation.) Determine p(5). (Round your answer to five decimal places.) p(5) = (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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