Question

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. Determine the probability table for the house or the beach.

Please show all of your work! Any guidance is extremely appreciated.

Answer 1

We are given here that:
n(engineers) = 53,
n(artists) = 45,
m(writers) = 2,

Also, amongst females we are given here that:
n(females and engineers) = 9
n(females and writers) = 0,
n(females) = 26

From the above values, the other frequencies are computed here as:
n(females and artists) = n(females) - n(females and engineers) - n(females and writers)

n(females and artists) = 26 - 9 - 0 = 17

Also for males now, the frequencies are obtained here as:
n(males and engineers) = n(engineers) - n(females and engineers)
n(males and engineers) = 53 - 9 = 44,
n(males and artists) = n(artists) - n(females and artists) = 45 - 17 = 28
n(males and writers) = n(writers) - n(females and writers) = 2- 0 = 2

n(Total) = 53 + 45 + 2 = 100

Therefore the probability table now is obtained here as:

	Male	Female
Engineers	44/100 = 0.44	9/100 = 0.09
Writers	2/100 = 0.02	0
Artists	28/100 = 0.28	17/100 = 0.17