Answer
See below.
Work Step by Step
a. i. P(have never shopped) =1200/2000 = 0.6
ii. P(male) = 1200/2000 = 0.6
iii.P(have shopped|female) = 300/2000 = 0.15
iv. P(male| have never shopped) = 700/2000 = 0.35
b. The events male and female are mutually exclusive, because these two events cannot happen together. The events have shopped and male are not mutually exclusive because they can happen together.
c. The events female and have shopped are dependent, because their probabilities are not equal.
P(female) = 800/2000 = 0.4
P(female|have shopped ) = 300/800 = 0.375
