SOLUTION: Three hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. 18 - 24 25 - 34 35 - 55 55 an

Algebra ->  Probability-and-statistics -> SOLUTION: Three hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. 18 - 24 25 - 34 35 - 55 55 an      Log On


   

Question 1197310: Three hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.
18 - 24 25 - 34 35 - 55 55 and over Total
Liked Crunchicles 39 27 24 42 132
Disliked Crunchicles 28 15 17 30 90
No Preference 16 22 24 16 78
Total 83 64 65 88 300
One consumer from the survey is selected at random. Leave all answers in a reduced fraction.
What is the probability that the consumer is 18 - 24 years of age, given that he/she dislikes Crunchicles?


What is the probability that the selected consumer dislikes Crunchicles?


What is the probability that the selected consumer is 35 - 55 years old or likes Crunchicles?

If the selected consumer is 70 years old, what is the probability that he/she likes Crunchicles?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
                   18-24 25-34 35-55 ≥55 Total
Liked Crunchicles    39   27    24   42   132
Disliked Crunchicles 28   15    17   30    90*
No Preference        16   22    24   16    78
Total                83   64    65   88**   300
P(18-24 |Dis C) = (28/90*) =  14/45    

P(Dis C) = 90/300 = 3/10

P(35-55 0r Likes C) = 65/300 + 132/300 - 24/300 = 172/300 = 43/75

P( >70 & likes) = 42/88** = 21/44

Wish You the Best in your Studies.