2006 randomly selected adults were asked whether or not they have ever shopped o

Question

2006 randomly selected adults were asked whether or not they have ever shopped on the Internet. The following table gives a two-way classification of the responses.

Round your answers to three decimal places.

If one adult is selected at random from these 2006 adults, find the probability that this adult

i. has never shopped on the Internet.
______
ii. is a male.
______
iii. has shopped on the Internet given that this adult is a female.
______
iv. is a male given that this adult has never shopped on the Internet.
______

Explanation / Answer

i. P(never shopped on the Internet) = (700+506)/2006 = 0.6012

ii. P(a male) = (500+700)/2006 = 0.5982

iii. P (shopped on the Internet given that this adult is a female) = 300/(300+506) = 0.3722

iv. P(a male given that this adult has never shopped on the Internet) = 700/(700+506) = 0.5804

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