Respuesta :
Answer:
The probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles is 0.151.
Step-by-step explanation:
The age groups and preferences are given as follows:
                   18 - 24   25 - 34    35 - 55   55 and over    Total
Liked Crunchicles      39       66        10          86         201
Disliked Crunchicles    27        19       38          95         179
No Preference         24       37       35          24         120
Total                 90      122       83         205        500
One consumer from the survey is selected at random.
Compute the probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles as follows:
[tex]P(18-24|DC)=\frac{P(18-24\cap DC)}{P(DC)}[/tex]
            [tex]=\frac{n(18-24\cap DC)}{n(DC)}\\\\=\frac{27}{179}\\\\=0.15084\\\\\approx 0.151[/tex]
Thus, the probability that the consumer is 18 - 24 years of age, given that they dislike Crunchicles is 0.151.
