Answer:
Step-by-step explanation:
Given that a machine produces defective parts with three different probabilities depending on its state of repair.
condition Good order Wearing down Needs main Total
Prob 0.8 0.1 0.1 1
Defective 0.02 0.1 0.3
Joint prob 0.016 0.01 0.03 0.056
a) 0.016
b) total = 0.056
c) If not defective from needs maintenance
Prob for not defective = 
From machine that needs maintenance = 0.07
So reqd prob = 
There is a lot of numbers
The value of k is
<h3>How to solve the simultaneous equation?</h3>
Given:
x-y=k.............(eq i)
2x²+y²-15..............(eq ii)
We would make y the subject formula in eq ii
2x²+y²-15= 0
2x² + y²= 15
y²= 15-2x²
y= 
...........(eq iii)
Substitute the value of y into eq i
x-(= k
x- (
= k
k=
Read more about simultaneous equations here:
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Step-by-step explanation:
Number of males is
Number of males not enrolled
Number of females not enrolled
(a)
The table based on data is
<u> Enrolled Not enrolled Total </u>
<u>Male 82 36 118 </u>
<u>Female 102 56 158 </u>
Total 184 92 276
(b)
Percentage of students were males that went to magic college
- enrolled male / total students = (use table above)
- 82/276*100% = 29.71% (rounded)
(c)
Percentage of females went to magic college
- enrolled female / total female = (use table above)
- 102/158*100% = 64.56% (rounded)
