Question 24 Survey data based on 65000 mobile phone subscrib

Question 24. Survey data, based on 65,000 mobile phone subscribers, shows that 94% of the subscribers use smartphones. Moreover, 51% of smartphone users are women. i. Find the probability that a mobile phone subscribers is a woman and uses a smartphone. ii. Find the probability that a mobile phone subscribers is a man and uses a smartphone. Write your answers as #.####, #.####. The first number is for part i and the second number is for part ii.

Solution

Answer : Total number of mobile users = 65000

Number of smart phone subscriber = 65000×94/100 = 61,100

Number of women subscriber = 61,100 ( 51% of 61,100)

Number of men subscriber = 29,939

I) probability of women using smart phones =

P=31,161/61,100= 0.51

2) probability of men using smart phones

P= 29,939/ 61,100= 0.49