Probability overlapping events

[bmii]

I need to classify cubes based on their volumes. My first classification says the cube volume is bigger then 1mm3 with probability 0.96 (error on measurement), so I pass it on to my second classification which says that the cube is bigger then 2mm3 with probability 0.027. So the cube is between 1mm3 and 2mm3, but with what probability? I need to calculate it sample by sample so I don't know the sample size. This needs to be based on 4 probabilities P(>0mm3)+P(=0mm3)=1 and P(>1mm3)+P(=0mm3)=1.
Thank you!

 

[Steven G]

This is not a problem solving site. Please read the guidelines for this form, follow the guidelines and then post back. If you had followed the rules you would have received help by now.

 

[Dr.Peterson]

I need to classify cubes based on their volumes. My first classification says the cube volume is bigger then 1mm3 with probability 0.96 (error on measurement), so I pass it on to my second classification which says that the cube is bigger then 2mm3 with probability 0.027. So the cube is between 1mm3 and 2mm3, but with what probability? I need to calculate it sample by sample so I don't know the sample size. This needs to be based on 4 probabilities P(>0mm3)+P(=0mm3)=1 and P(>1mm3)+P(=0mm3)=1.

Please explain the problem more fully. Is this an assignment? If so, we need the exact wording. If it is your own, where do your probabilities come from?

But based on what you've said, you can find P(x<=1) and P(x>2). So what is P(1<x<=2)?

Your last sentence makes no sense to me.