Unemployment. In the Sri Lankan Government’s 2013 Labor Force Survey report, found on statistics.gov.lk, the percentage distribution of economically inactive population in Sri Lanka has been discussed. The following contingency table cross-classifies a sample of 129.5% economically inactive Sri Lankan citizens, by gender and level of education.

Gender Race Grade 5 Grade 6 and below to 10 Total Male 20.3 42.7 63.0 Female 20.1 46.4 66.5 Total 40.4 89.1 129.5 Compute the following conditional probabilities directly; that is, do not use the conditional probability rule. One person is selected at random. Find the probability that the person was

a. a female.

b. a female with education till grade 5.

c. a female, given that the grade passed is between 6 and 10.

d. a male, given that the grade passed is less than 5.