Thread: Continuous uniform dist. question

I'm not sure how to tackle this question... Any help would be most grateful:

A computer generates independent random numbers from the continuous uniform distribution over the range [0,1]. In a sample of 9 such numbers what is the probability that exactly 2 are less that 0.33 ?

Thanks, Felix

Originally Posted by FelixHelix

A computer generates independent random numbers from the continuous uniform distribution over the range [0,1]. In a sample of 9 such numbers what is the probability that exactly 2 are less that 0.33 ?

The probability that any one of the nine is less than .33 is .
So what about exactly two? HINT: binomial.

So it would be:

(9 Choose 2)* (0.33)^2 * (0.67)^7 = 0.2376