00:01
Hello, so here we've been doing, let's see 500 cookies.
00:18
I think that's 600 raisins.
00:29
So we are making 500 cookies from these raisins.
00:34
And so we can say that the expected raisin in a cookie, that's going to be equal.
00:53
But you can see that the raisins are more than the cookie, right? so the expected is going to be 600 over 500.
01:07
That's 1 .2.
01:08
So we're going to have 1 .2 resins per cookie, right? so where this is going is we're going to be using the person distribution.
01:19
So for the pusson distribution of x equals x that's given by into the maybe the lambda times lambda to the x over x factorial.
01:33
Here lambda as you expected which is 1 .2.
01:40
So on the first part of the question, it's asking for the probability rather randomly so that ted kukki will have no resin.
01:54
Essentially you're saying that x equals 0.
01:57
That's going to be e to the negative 1 .2 1 .2, it's 1 .2, it's putting 0 over 0 factorial.
02:08
So essentially we're looking at e to the negative 1 .2 probability 0 .3012.
02:26
And the next part of the question, assessment for the probability, not around the pit quickly will have exactly two reasons.
02:38
So x equals 2, so the e to the negative 1 .2 times 2 squared over 2 factorial.
02:49
So that is just that times 1 .2 squared.
03:02
Let's see, divided by 2.
03:05
That's going to be 0 .2169.
03:13
Then the last part of the question is the probability that a random chosen people have at least five reasons.
03:24
So you have probability of a second greater than what you go to five reasons.
03:32
Is the same as 1 minus the probability that there are less than that.
03:46
It will be x less than 5 reasons.
03:51
Which is the same as 1 minus the probability of x equals 0 and if it's in a bigger bracket plus let's see, probability of x equals 1 plus x equals 1 plus x x equals 2 x equals 3 right plus x equals 4 we need to do all these so what do we have so we have to do for probably that x equals 0 but we already did that in the first part then we had 0 .3012 right now let's do for probably that x equals 1 it's going to be a negative 1 .2 times 1 .2.
04:55
Let's put into 1 if you like over 1 factorial.
05:06
That is just basically e to negative 1 .2 times 1 .2...