00:01
In this question, we're given the table showing the number of employees working in each business unit of a small production facility and their corresponding performance level.
00:12
Now, the last column here is the row total and the last row here is the column total.
00:23
Now, employees randomly selected, i'm going to let a denote the event.
00:28
The employee is from business unit a.
00:30
B, denote the event.
00:32
The employee is from business unit b.
00:35
C denote the event, the employees from business unit c.
00:39
E denote the event, the performance of the employee is excellent.
00:44
And m denote the employee's performance is medium.
00:49
Now, which of these statements are correct? in a, the probability of employees from business unit b.
00:57
So let's look at a.
01:00
Probability the employees from business unit b so there's event b and has medium performance now in probability n is times set notation is intersect or is plus set notation is union so and and will be intersect so intersect medium performance that is event m so let's find this probability so this is event this is event e and this is even a b c so this is probability b and m at the same time so b and m will be over here that is 14 out of the total of 539 and this gives us 0 .025974 and that is 0 .0263 place so it is correct.
02:09
So a is correct.
02:13
Now let's look at b.
02:17
Probability at employee has an excellent performance.
02:20
So there's probability of event e.
02:23
Given.
02:23
So given is this vertical line...