00:01
So looking at these possibilities, we want to know the probability that none of the crimes will be solved.
00:07
And this is in there are six property crime cases.
00:15
So what we see is that there's an 80 % chance that it is not solved.
00:23
So what we have is a 80 % chance, or 0 .8 times.
00:32
0 .8 times 0 .8 and so on.
00:36
So the way that we can write this is 0 .8 to the power of 6.
00:44
So if we were to, if we were to calculate this, what it would look like is 0 .8 to the 6th power.
00:58
So what that looks like is 0 .8 to the 6th is 0 .26 to 1 .4 .4 .5.
01:07
4 -4.
01:08
So there's about a 26 .21 % chance that none of the crimes, none of those six crimes would be solved.
01:17
Now we want to know the probability that at least one of the crimes would be solved.
01:22
So that's seeking 0 .2.
01:26
And there's a 0 .2 or 20 % chance that each time the crime is solved and then what we can do is we multiply this we take this to the sixth power or if we see that this is 26 .21 if we take 100 minus that 26 .21 we see that there is a 73 .79 % chance that at least one of those crimes would be solved.
02:12
Then we want to know the expected number of crimes that would be solved...