00:01
In this problem, we have been given a probability distribution, and first of all, we have been asked to determine what probability should replace the question mark in the distribution and why.
00:13
So note that in a probability distribution, if we add all of the probabilities, we will always get one.
00:21
So if we add the given probabilities, we will end up with 0 .63 plus 0 .22 plus 0 .06 plus this question mark, this will be equal to 1.
00:35
So we end up with 0 .91 plus the question mark, this is equal to 1.
00:41
And that will imply that the question mark will be 1 minus 0 .91.
00:50
And that is equal to 0 .09.
00:53
So this will be our answer.
00:54
0 .09 is the probability that will replace the question mark in the distribution.
00:59
And why? that's because the sum of the probabilities in the distribution must be 1.
01:03
Now, next, we have been asked to determine the probability that a canadian's mother tongue is not english.
01:09
Using the complement rule of probability, this will be 1 minus the probability that the mother tongue is english.
01:15
And from the table, we can obtain that that probability is 0 .63.
01:19
So we have 1 minus 0 .63.
01:21
This is equal to 0 .37...