Respuesta :
Answer:
The probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47
Step-by-step explanation:
                    Has Gained Weight     Has Not Gained Weight
Does not take vitamins              52                  19
Takes one vitamin per day           35                  49
Takes more than one vitamin per day 72 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 80
We are supposed to find the probability that he or she has gained weight, given that he or she takes more than one vitamin per day
A= he or she has gained weight
B=he or she takes more than one vitamin per day
[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
[tex]A \cap B = 72[/tex]
B = 72+80=152
So,[tex]P(A|B)=\frac{72}{152}=0.47[/tex]
So, Option C is true
Hence the probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47
