Table below shows number of people who work for the company

Table below shows number of people who work for the company, separated by age and gender. below 40 above 40 Male M1 M2 Female F1 F2 For M1, M2, F1, F2 use numbers assigned for you in the table below. Based on data in your table find: 1) P robability that randomly selected person is Female and is less than 40 years old: P( Female and Below 40). 2) P robability that randomly selected person is Male or person is above 40 years old: P (Male or Above 40) 3) Conditional P robability that if selec ted person is female her age is below 40, conditional probability P(Below 40 if Female). Tip: in this case you should divide by number of Female in the table, not by total number of all people.

M1 = 45

M2 = 35

F1 = 25

F2 = 15

Solution

1) P robability that randomly selected person is Female and is less than 40 years old:

P( Female and Below 40) = F1/(TOTAL) = 25/(120) = 0.20833

2) P robability that randomly selected person is Male or person is above 40 years old:

P (Male or Above 40) = M2/(TOTAL) = 35/120 = 0.291667

3) Conditional P robability that if selec ted person is female her age is below 40, conditional probability

P(Below 40 if Female) = F1/(F1+F2) = 25/40 = 0.625