 LFD Book Forum Chapter 1 - Exercises 1.8/1.9

#1
 leduran Junior Member Join Date: Apr 2013 Posts: 3 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? #2
 Elroch Invited Guest Join Date: Mar 2013 Posts: 143 Re: Chapter 1 - Exercises 1.8/1.9

I concur (although isn't the first 9.1E-9?)
#3
 cyberwillis Junior Member Join Date: Jul 2012 Location: Brazil, Sao Paulo Posts: 4 Re: Chapter 1 - Exercises 1.8/1.9

Quote:
 Originally Posted by leduran 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
#4
 tatung2112 Junior Member Join Date: Feb 2014 Posts: 4 Re: Chapter 1 - Exercises 1.8/1.9

Quote:
 Originally Posted by cyberwillis try epsilon = .980 , this will give you 9.10E-9
But why do you choose epsilon = .980, not 0.8?
#5
 henry2015 Member Join Date: Aug 2015 Posts: 31 Re: Chapter 1 - Exercises 1.8/1.9

Quote:
 Originally Posted by Elroch 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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