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?