Answer:
a) 0.8841
b) 0.0435
Step-by-step explanation:
A : the set of joints deemed defective by inspector A.
B: the set of joints deemed defective by inspector B.
U: the set of all joints.
The problem says |A|=724, |B|=751, |A∪B|=1159, |U|=10000. Hence, with the help of Venn diagram we can answer the following:
Part a)
This asks for the number of joints that are ∉(A∪B).
hence,
P (∉(A∪B)) :
part b)
This asks for the number of joints that are in B but not in A, which Is represented as the set B−A
Answer: 560
Step-by-step explanation:
There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.
The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120
The 30's can be written: 5*30 + 20 = 170
40's: 5*40+20 = 220
50's: 5*50+20 = 270
60's: 5*60+20 = 320
Each set is incremented by 50
We want the sets for 20, 30, and 40, plus the number 50.
(120+170+220+50) = 560
You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.
