00:01
In this question, we have a sugar production line.
00:05
There are two lines.
00:06
Line 1 produces twice as many bags as line 2, and the probability of a defective bag in line 1 is 0 .01.
00:14
Defective bag in line 2 is probability is 0 .03.
00:18
And the bag is randomly chosen in part a.
00:20
We want to find the probability the bag came from line 1.
00:24
Now, since line 1 produces twice as many as line 2, so in total there will be three parts and line 2 will produce 2 parts and line 1 will produce 1 part so it's 2 3rds or 0 .6667 4 decimal place okay part b in part b the probability of the back being defective it will have to be split into two mutually exclusive case first case is the back comes from line 1 and defective or now probability n is times notation wise is intercept.
01:19
All is plus notation wise is union.
01:21
So all is plus.
01:25
The back comes from line 2 and defective.
01:31
Okay, let's look at our first case.
01:33
It came from line 1, so 2 3 chance.
01:37
Now n will be times defective.
01:39
Now line 1 defective is 0 .01.
01:45
Now probability of line 2 will be 1 3rd, and defective...