Donato’s completed a marketing study to determine what types of pizza people lik
ID: 3297718 • Letter: D
Question
Donato’s completed a marketing study to determine what types of pizza people liked. They offered one free slice as their choice from cheese, meat lover and veggie to each of 1000 people and recorded their preference and their ages. The following table summarizes the results.
Age
25-34
35-44
45-65
Totals
Cheese
230
140
30
400
Meat
120
150
60
330
Veggie
50
60
160
270
Totals
400
350
250
What is the probability that the person is 25-34 years old AND prefers veggie?
What is the probability that the person is 45-65 years old OR prefers cheese?
What is the probability that the person prefers cheese OR meat?
What is the probability that the person’s age is at least 35?
What is the probability that the person prefers meat AND veggie?
What is the probability that the person is 35-44 years old, given that the person prefers meat?
What is the probability that the person prefers meat, given that the person 35-44 years old?
What is the probability that the person is 35-44 years old AND prefers meat?
What is the probability that the person prefers veggie, given that the person is 25-34 years old?
What is the probability that the person is 25-34 years old, given that the person prefers veggie?
Is the preference independent of age? Use probabilities from above to demonstrate your decision.
Give an example of two events that are disjoint (mutually exclusive)?
Age
25-34
35-44
45-65
Totals
Cheese
230
140
30
400
Meat
120
150
60
330
Veggie
50
60
160
270
Totals
400
350
250
Explanation / Answer
a) probability that the person is 25-34 years old AND prefers veggie = 50/1000 = 0.05
b) probability that the person is 45-65 years old OR prefers cheese = (250+230+140)/1000 = 0.62
c) probability that the person prefers cheese OR meat = (400+330)/1000 = 0.73
d) probability that the person’s age is at least 35 = (350+250)/1000 = 0.6
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