How will marketers change their social media use in the near future? A survey by Social Media Examiner reported that $76\%$ of B$2$B marketers $($marketers that focus primarily on attracting busi$-$nesses$)$ plan to increase their use of LinkedIn, as compared to $52\%$ of $B2C$ marketers $($marketers that primarily target consumers$).$ The survey was based on $1,780$ B$2$B marketers and $3,306$ B$2$C marketers.

The following table summarizes the results:

BUSINESS FOCUS

INCREASE USE OF LINKEDIN?

B$2$B B$2$C

Total

Yes

$1,353$

$1,719$

$\backslash$table$[[$No$,3,072,,],[2_{,}014,{427}_{?},1,{587}_{?},],[$Total$,,,],[,5,086,1,780,3,306]]$

$5,086$

$($Source: Data extracted from $"2016$ Social Media Marketing Industry Report,"

socialmediaexaminer.com.$)$

If a marketer is selected at random, what is the probability that

a$.$ he or she plans to increase use of LinkedIn?

b$.$ he or she is a B$2$C marketer?

c$.$ he or she plans to increase use of LinkedIn or is a B$2$C marketer?

d$.$ Explain the difference in the results in $($b$)$ and $($c$).$

e$.$ Suppose you know that the marketer is a B$2$B marketer. What is the probability that he or she plans to increase use of LinkedIn?

f$.$ Suppose you know that the marketer is a B$2$C marketer. What is the probability that he or she plans to increase use of LinkedIn?

g$.$ Are the two events, increase use of LinkedIn and business focus, independent? Explain.