Question

Below are listed the numbers of engineers in various fields by sex. Choose one engineer at random. Find . MechanicalElectricalBiomedicalMale9,6014,3576,318Female2,0391,1815,168

Answer 1

The number of male engineers is:

$9601+4357+6318=20276$

4357 of them are electrical engineers, then the probability of choosing an electrical engineer given that he is male is:

$P(\text{electrical}|\text{male})=\frac{4357}{20276}\approx0.2149$