SOLUTION: 0 breaks 1 breaks 2 breaks 0 defects 0.1 0.1 0.25 1 defects 0.15 0.18 0.02 2 defects 0.05 0.12 0.03 At my tiny factory, each worker produces mini erasers. In a given day,

Algebra ->  Probability-and-statistics -> SOLUTION: 0 breaks 1 breaks 2 breaks 0 defects 0.1 0.1 0.25 1 defects 0.15 0.18 0.02 2 defects 0.05 0.12 0.03 At my tiny factory, each worker produces mini erasers. In a given day,       Log On


   



Question 1184148: 0 breaks 1 breaks 2 breaks
0 defects 0.1 0.1 0.25
1 defects 0.15 0.18 0.02
2 defects 0.05 0.12 0.03

At my tiny factory, each worker produces mini erasers. In a given day, workers produce D = 0, 1, or 2 defects and take B = 0, 1, or 2 bathroom breaks. The joint probability distribution is above.
If a worker takes 0 bathroom breaks, what is the expected number of defects? That is, what is E[D|B = 0]?
Your answer should be between 0 and 1. Round your answer to two decimal places, if necessary

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

P(D = 0|B = 0) = 0.1%2F%283%2F10%29++=+1%2F3
P(D = 1|B = 0) = 0.15%2F%283%2F10%29++=+1%2F2
P(D = 2|B = 0) = 0.05%2F%283%2F10%29++=+1%2F6

===> E[D| B = 0] = 0%2A%281%2F3%29+%2B+1%2A%281%2F2%29+%2B+2%2A%281%2F6%29+=+highlight%285%2F6%29.