In: Statistics and Probability
In the house, there were 201 engineers, of which 16 were female. There were 233 artists and no writers, but 1 male cashier. At the beach, there were 53 engineers and 45 artists. There were also 2 writers. Of the 26 total females at the beach, 9 are engineers and none were writers.
A house member is selected at random, find the probability of each event:
a. The house member is male
b. The house member is an artist
c. The house member is male, given that the house member is an engineer
d. The house member is not male, nor an engineer
e. The house member is female and an artist
Please show all of your work! Any guidance is extremely appreciated.