Chapter 1 - Exercises 1.8/1.9

[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?

[Elroch]

I concur (although isn't the first 9.1E-9?)

[cyberwillis]

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

[tatung2112]

Originally Posted by cyberwillis

try epsilon = .980 , this will give you 9.10E-9

But why do you choose epsilon = .980, not 0.8?

[henry2015]

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.