(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? The fifth battery must be an A. The fifth battery must be a U. List the four outcomes for which Y-S. (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).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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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 91% 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 an A.
O The fifth battery must be a U.
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 91% 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 an A. O The fifth battery must be a U. 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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