nswer:
Explanation:
) We want to start by drawoing a Venn diagram
We call the set of the married people M and the set of the full-time workers F
We have the Venn diagram represented as follows:
b) We want to get the probability that an employee works full time and is married
We have that as:
P(full-time) OR P(married) -P(Full time and married)
P(full time) = 70/110
P(married) = 60/110
P(full time and married) = 35/110 (since half of the full-time workers are married)
Thus, we have:
:
[tex]\frac{70}{110}+\text{ }\frac{60}{110}-\frac{35}{110}\text{ = }\frac{95}{110}[/tex]
c) The probability that an employee works full time or is not married
Mathematically, we have that as:
P(full time) OR P(not married) -P(full time and not married)
P(not married) = 1 - P(married)
:
[tex]\begin{gathered} \frac{70}{110}+(1-\frac{60}{110})\text{ - }\frac{35}{110} \\ \\ \frac{70}{110}+\frac{50}{110}-\frac{35}{110}\text{ = }\frac{70+50-35}{110}\text{ = }\frac{85}{110} \end{gathered}[/tex]
