3. The following table displays the preferences of ice cream flavor of three age

Question

3. The following table displays the preferences of ice cream flavor of three age groups of young adults based on a large study CHOCOLATE 130 105 93 VANILLA 110 135 154 STRAWBERRY 74 80 78 AGES 16-18 19-21 22-24 a. Based on these data, what is the probability that a young adult chosen at random will be in the age group 22-24 and prefer chocolate ice cream? b. Based on these data, what is the probability that a young adult chosen at random will be in the 22-24 age group given that the person selected prefers chocolate ice cream? c. Are 'age group' and 'ice cream flavor' independent? Provide evidence to justify your answer

Explanation / Answer

a)

P(age group 22-24 and prefer chcolate ice cream)=93/959= 0.0970

b)

P(22-24 age group|prefers chocolate cream)=93/328=0.2835

c)

here as P(22-24 age)=325/959=0.3389 is not equal to P(22-24 age group|prefers chocolate cream) ; therefore age group and ice cream flavour are not independent,

ages chocolate Vanilla Strawberry Total 16-18 130 110 74 314 19-21 105 135 80 320 22-24 93 154 78 325 total 328 399 232 959

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