4. (15 points) Assume we have purchases of 3 smartphones (Phones, Samsung, and N
ID: 3340701 • Letter: 4
Question
4. (15 points) Assume we have purchases of 3 smartphones (Phones, Samsung, and Nokia). We have broken down purchases by gender and age group. The results are below Phone Purchases Observation Gender Age Group Purchase Male 21-35 iPhone Female 36-50 Samsung Male 51-65 iPhone 4 Female 21-35 Samsung Female 36-50 iPhone Male 51-65Samsung 7 Male 21-35 Samsung Female 36-50 iPhone 9 Male 51-65 Samsung 10 Female 21-35 iPhone Female36-50 Nokia 12 Female 51-65 iPhone Male 21-35 Samsung Female 36-50 Nokia e 51-65 iPhone 16Female 21-35 Nokia Female 36-50 iPhone 13 14 15 17 18 19 51-65 iPhone Male 21-35 Nokia Female 36-50 iPhone Female 51-65 Samsung Female 21-35 Samsung Male 21 36-50Nokia 24 Female! 51-65 iPhone 25Female21-35iPhone 26 27 Male 36-50 iPhone 51-65 iPhone Female21-35 iPhone Male 29 Male 36-50 Samsung Female51-65 Nokia a. What is the probablility that a consumer will buy a iPhone? What is the Complement of that probability? What is the probability that a Female will buy a Nokia? What is the probability that someone in the age group 51-65 will buy a Samsung? b. c. What is the probability that a Female in the 21-35 age group will buy a Samsung? d. Given purchasers of iPhones, what is the probability they are in the 36-50 age groupExplanation / Answer
4a.
The number of consumers buying iphone = 15
Total number of consumers = 30
Probability that a customer buy a iphone = 15/30 = 0.5
The complement of the probability = 1 - 0.5 = 0.5
b.
Number of female buying Nokia = 4
Total number of females = 17
Probability that a female buy Nokia = 4/17 = 0.2353
Number of people in age group 51-65 buying Samsung = 3
Total number of people in age group 51-65 = 10
Probability that people in age group 51-65 buying Samsung = 3/10 = 0.3
c.
Number of female in age group 21-35 buying Samsung = 2
Total number of female in age group 21-35 = 6
Probability that people in age group 51-65 buying Samsung = 2/6 = 1/3 = 0.33
d.
The number of consumers buying iphone = 15
Number of people in age group 36-50 buying iphone = 5
Probability that consumers buying iphone are in age group 51-65 = 5 / 15 = 1/3 = 0.33
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