Problem #3: A box consists of 13 components, 6 of which are defective. (a) Components are selected and tested one at a time, without replacement, until a non-defective component is found. Let X be the number of tests required. Find P(X = 5). (b) Components are selected and tested, one at a time without replacement, until two consecutive non defective components are obtained. Let X be the number of tests required. Find P(X= 5). Problem #3(a): Problem #3(b):

Problem #3: A box consists of 13 components, 6 of which are defective. (a) Components are selected and tested one at a time, without replacement, until a non-defective component is found. Let X be the number of tests required. Find P(X = 5). (b) Components are selected and tested, one at a time without replacement, until two consecutive non defective components are obtained. Let X be the number of tests required. Find P(X= 5). Problem #3(a): Problem #3(b):

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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The concentration of carbon dioxide (COy) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use COz to fuel photosynthesis, more COz may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO, to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra COz. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percentage increase per year. Here are one year's data Pair 1 2 3 Control Plot 9.752 7.263 5.742 Treated Plot 10.587 9.244 8.675 Treated - Control 0.835 1.981 2.933 State the null and alternative hypotheses. Explain clearly why the investigators used a onesided alternative. Use at procedure to carry out a test and report your conclusion in simple language. The investigators used the test you just carried out.Any use of the…
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