Answer:
the probabiility that the selected man relies on a GPS system is 0.494
Step-by-step explanation:
From the given information:
Let X be the event that selected person is a man
Let Y be the event that selected person is a woman
Let Z be the event that selected relies or use GPS system.
So;
the following probabilities are:
P(X) = 0.50
P(Y) = 0.49
P(Z) = 0.77
P(X ∩ Z) = 0.38
P(Y ∩ Z) = 0.38
Now;
if the selected person is a man, the probability that he relies on a GPS system can be determined as follows:
[tex]P(Z|X) = \dfrac{P(X \cap Z)}{P(Z)}[/tex]
[tex]P(Z|X) = \dfrac{0.38}{0.77}[/tex]
[tex]\mathbf{P(Z|X) =0.494}[/tex]
Thus, the probabiility that the selected man relies on a GPS system is 0.494
