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  #1  
Old 04-08-2013, 09:13 PM
leduran leduran is offline
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Default Chapter 1 - Exercises 1.8/1.9

Hi, I like to know if somebody else solved problem 1.8 in the Textbook. My solution is the following:

The probability that a sample of 10 marbles has nu <= 0.1 is equivalent of finding the probabilty that the number of Red marbles is less than or equal to one. Call X this random variable, then:

P [nu <= 0.1] = P [X <= 1] = P [X= 0] + P [X= 1] = 9.09E-9 , I got this result using the Binomial.

Comparing with exercise 1.9 this gives ( with epsilon 0.8) this gives a bound of 5.52E-6

Is this correct?
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  #2  
Old 04-09-2013, 04:17 AM
Elroch Elroch is offline
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Default Re: Chapter 1 - Exercises 1.8/1.9

I concur (although isn't the first 9.1E-9?)
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  #3  
Old 04-15-2013, 05:46 PM
cyberwillis cyberwillis is offline
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Default Re: Chapter 1 - Exercises 1.8/1.9

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Originally Posted by leduran View Post
Hi, I like to know if somebody else solved problem 1.8 in the Textbook. My solution is the following:

The probability that a sample of 10 marbles has nu <= 0.1 is equivalent of finding the probabilty that the number of Red marbles is less than or equal to one. Call X this random variable, then:

P [nu <= 0.1] = P [X <= 1] = P [X= 0] + P [X= 1] = 9.09E-9 , I got this result using the Binomial.

Comparing with exercise 1.9 this gives ( with epsilon 0.8) this gives a bound of 5.52E-6

Is this correct?
try epsilon = .980 , this will give you 9.10E-9
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  #4  
Old 02-05-2014, 06:56 PM
tatung2112 tatung2112 is offline
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Default Re: Chapter 1 - Exercises 1.8/1.9

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Originally Posted by cyberwillis View Post
try epsilon = .980 , this will give you 9.10E-9
But why do you choose epsilon = .980, not 0.8?
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  #5  
Old 11-05-2017, 05:30 AM
henry2015 henry2015 is offline
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Default Re: Chapter 1 - Exercises 1.8/1.9

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Originally Posted by Elroch View Post
I concur (although isn't the first 9.1E-9?)
Yea, I also got 9.1E-9 for Exercise 1.8 as well.
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