For a marketing survey, 200 customers were classified accordingto their age (in

ID: 3127339 • Letter: F

Question

For a marketing survey, 200 customers were classified accordingto their age (in years) and their favorite type of donut.

1. What is the probability that a person prefers creme filled donuts and is age 45 years or less?

2. What is the probability that a person's favorite donut is not glazed or that the person is less than 21 years of age?

3. What is the probability that a person is between 21 and 30 years of age if that person favors chocolate-covered donuts?

4. Are age and favorite donut independent variables?

Age of Customer Glazed Chocolate Covered Creme Filled Cake <21 3 25 10 7 21-30 5 23 26 10 31-45 15 12 3 20 > 45 29 5 1 6 Total 52 65 40 43

P(Creme and x<45) = (10+26+3)/200 = 0.195 [ANSWER]

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2.
P(not glazed or x<21) = (25+23+12+5+10+26+3+1+7+10+20+6+3)/200 = 0.755 [ANSWER]

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P(21<x<30|choco) = 23/65 = 0.353846154 [ANSWER]

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P(21<x<30) = (5+23+26+10)/200 = 0.32

Is not equal to P(21<x<30|choco), then NO, AGE AND DONUT ARE NOT INDEPENDENT EVENTS. [ANSWER]

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