In probabilities, variables p and q are often used as complements of another.
The relationship between variables p and q is:
[tex]\mathbf{p+ q = 1}[/tex]
So, we have:
(a) p = 0.579
Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{0.579 + q = 1}[/tex]
Make q the subject
[tex]\mathbf{q = 1 - 0.579}[/tex]
[tex]\mathbf{q = 0.421}[/tex]
The value of q is 0.421
(b) q = 0.871
Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{p + 0.871 = 1}[/tex]
Make p the subject
[tex]\mathbf{p = 1 - 0.871}[/tex]
[tex]\mathbf{p = 0.129}[/tex]
The value of p is 0.129
Read more about probability complements at:
https://brainly.com/question/10198002
