00:01
The given contingency table is for the grades of a, b and c and the row total.
00:10
For male, the values are 11, 2, 10 and 23.
00:18
And for female the values are 5, 3, 8 and 16.
00:26
And the column totals are 16, 5, 18 and the grand total of 39.
00:38
Now, in part a, we have to find the probability of so randomly selecting a female, which is calculated as the number of females in the group divided by the grand total.
00:56
The number of female in the group is 16 divided by the grand total of 39.
01:06
Now simplifying this gives the probability of 0 .4103.
01:13
Thus the probability of randomly selecting a female is 0 .4103.
01:20
Now we have to find the probability of selecting a student who is male and also got b grade and which is calculated as the number of students who are male and got b grade divided by the grand total.
01:43
In the contingency table the number of male students who got b grade and which is divided by the grand total of 39.
01:56
Now simplifying this gives the probability of 0 .0513...