1) A local factory makes sheets of plywood. Records are kept on the number of mild defects that occur on each sheet. Letting the random variable x represent the number of mild defects on a single sheet of plywood, the following probability distribution was created by the quality control team
x
|
p(x)
|
|
0
|
.35
|
|
1
|
.30
|
|
2
|
.15
|
|
3
|
.10
|
|
4
|
.10
|
a) A sheet of plywood is considered to be of low quality if it has at least 3 mild defects. If a single sheet is randomly selected what is the probability that it is of low quality?
b) If a sheet of plywood were selected at random what would be the average (expected) number of defects (to the nearest .1)?
c) On average, are sheets of plywood from this factory of low quality? Why or why not? (Be brief)