The COV-19 virus has virtually changed the way we work, studyand shop. People are scared and frightened of contracting thedeadly virus. Traditional grocery stores such as Loblaws, Longo’s,etc. have seen fewer shoppers, who also spent less time in thestores. A survey of 500 Canadian grocery shoppers was conductedlast week to find out if the scare of contracting the COV-19 virus,(very scared , VS) or (somewhat scared, SS) has affected theirgrocery shopping habits: whether they purchase groceries online(OL) or they purchase at a conventional grocery store (TS).Thesurvey reported that 400 shoppers purchased online and that 150 ofall shoppers were somewhat scared. The survey also reported that 75Canadians shopped online given that the shopper was somewhatscared.

a) Construct a cross-classification (or contingency) table withjoint and marginal probabilities. [or you can construct a treediagram].

b) What is the probability that a randomly selected shopper isvery scared and shops online?   

c) What is the probability that a randomly selected very scaredshopper buys from a traditional grocery store?

d) What is the probability that a shopper who shops online issomewhat scared?

e) What is the probability that a randomly selected shopper issomewhat scared or shops online?

f) Are “somewhat scared” and “online” independent events ordependent events or mutually exclusive events? Your answer mustinclude supporting probability calculations.