00:01
This is the given question.
00:02
There is a news poll nationwide with a random sample of total 651 adults.
00:07
This is total.
00:08
And they are asked some data and we have got their opinion about us economy, how us economy was changing and we have results.
00:18
So in republican party, 38 members said it was better, 104 said it was same, and 44 said work.
00:25
Similarly in democrat party they have said and none.
00:28
None means the people which are neither board the parties.
00:32
Now first let us perform the total.
00:37
So the total republic is 38 plus 104 plus 44.
00:41
It gives rise to total 186 number of republics are taken the poll.
00:47
And now when we go to democrats it is 12 plus 87 plus 137.
00:52
So total 237 people said that so total 237.
00:59
27 people of democrats were fold and none is nothing but 28 plus 90 plus 118 so total 229 people if you sum them if you i am writing the sum here because there is no place 186 plus 237 plus 229 it would give it total 651 similarly let us sum the columns the number of people who answered better are nothing but 38 plus 12 plus 21 and this gives rise to 71 so these are the sum of the columns i am writing them here and the number of people who answered same as 104 plus 87 plus 90 this gives rise to 281 and the number of people who answered was are 44 plus 137 plus 118 so this gives rise to 299 and again the both total gives rise to 651 because the total people 651.
02:06
Now let us try to proceed with our solution.
02:11
The first one is what is the problem if you randomly select one adults from total 651.
02:18
Okay, now we have sample space.
02:21
Total total equal to 651.
02:25
This is nothing but sample space.
02:31
Now we have to select only one adult and we have to find this probabilities.
02:36
First one.
02:37
What is the probability that the selected guy will be democratic okay as you all know this is very simple question probability for democrat equal to democrat sorry we have to select one people from democrat so the as you know that i am writing the general probability definition the general probability equal to favorable outcome by total favorable outcomes with total outcomes okay so please keep in mind this is the basic and general definition of probability.
03:23
So if we done an experiment, then the probability for any particular event is the favorable outcomes for that event by total outcomes.
03:31
Now let us proceed.
03:32
The first part is a.
03:34
I am representing democracy with d.
03:37
So probability for democracies.
03:40
Number of democrats are we have just completed it is 237.
03:43
Therefore favorable outcomes is 237.
03:48
And we have to select only one people so that is 237 c1.
03:52
But since it is only one people i can directly write number i am avoiding writing combination.
04:00
The total, the total is we have introduced total of 261.
04:03
I have already mentioned this is the total outcomes.
04:06
So 237 by 651 is the probability of democrat.
04:12
So its answer would be 0 .3641.
04:18
So i am writing 0 .3641.
04:21
Okay.
04:24
Now, probability of better, i am defining better with capital b...