A). What is the probability that a customer wil buy a Nokia? i). What is the com

Question

A). What is the probability that a customer wil buy a Nokia? i). What is the complement of that probability?
B). What is the probability that a Female will buy a Samsung? i). What is thr probability that someone in the age group 51-65 will buy an IPhone?
C). What is the probability that a Female innthe 21-35 age group will buy an IPhone?
D). Given purchasers of IPhones, what is the probability they are in the 35-50 age group?
(15 points) Assume we have of 3 and Nokia). We have broken down purchases by smartphones (iPhones, Samsung, gender and age group. The results are below Phone Purchases Observation Gender Age Group Purchase 1 Male 21-35 iPhone 3 Female 3650 Samsung 4 L Male 51-65 Iphone Female 21.35 Samsung Female 36-50 iPhone 6 Male 51-65 Samsung Male 21-35 Samsun 8 Female 36-50 iPhone 9 Male 51-65 Samsung 10 Female 21 iPhone 11 Female 36-50 Nokia 12 Female 51-65 iPhone 13 Male 21.35 Samsung 14 Female 36-50 Nokia 15 Male 51-65 iPhone 16 Female 21.35 Nokias 17 Female 36.50 iPhone 18 MMale 5165 21-35 Nokia 20 Female 36.50 iPhone 21 Female 51-65 Samsung 22 Female 35 Samsung 23 Male 36-50 Nokia 24 Female 51-65 Iphone Female 21-35 iPhone 25 Male 3650 iPhone 26 27 Male 51-65 iPhone 28 Female 21-35 iPhone Male 36-50 Samsung Female 51-65 Nokia 30 umar will buy a Nokia? wh

Explanation / Answer

Given total number of customer = 30

A). What is the probability that a customer will buy a Nokia?

Number of customers who bought Nokia = 6

Probability that a customer will buy a Nokia = 6/30 = 0.2.

The probability that a customer will buy a Nokia is 0.2

i) What is the complement of that probability?

Complemet of the above probability is 1 - 0.2 = 0.8

B). What is the probability that a Female will buy a Samsung?

Number of Females who bought Samsung = 4.

Hence, the probability that a female will buy a Samsung = 4/30 = 0.133

i) Probability that someone in age group 51-65 will buy an IPhone

Number of people in age group 51-65 is 10.

Number of customers who bough iPhone in this age group is 6

Hence, the probability that someone in the age group 51-65 will buy an IPhone is 6/10 = 0.6.

C). What is the probability that a Female in the 21-35 age group will buy an IPhone?

Number of customers in age group of 21-35 is 10.

In age group of 21-35, number of female who bought an iPhone is 3

Hence, the probability that a Female in the 21-35 age group will buy an IPhone is 3/10 = 0.30.

D). Given purchasers of IPhones, what is the probability they are in the 35-50 age group?

Number of customers who purchased IPhone = 15.

Number of customers who are in age grouop of 35-50 and purchased IPhone = 5.

Hence, given purchasers of IPhones, the probability they are in the 35-50 age group = 5/15 = 0.33

Final Answers:

A) 0.2

i) 0.8

B) 0.13

i) 0.6

C) 0.3

D) 0.33

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