00:01
Hi, i'm david and i'm here to have you answer your question.
00:03
Now let me bring up your question here.
00:07
In this question we'll discuss about the binomial distribution.
00:11
Let me remind you that if we have the x followed by the binomial n p, then the probability of the x equal to k, equal to n2k, p power k, 1 minus p bar, n minus k.
00:27
Also e of the x equal to np, brants of the x equal to the n p 1 minus p now in this question we're given the x followed by the binomial with the n equal to 10 p equal to 0 .3 therefore in the part i am the question when to find the per e of the x first so to find in the x we use the formula here so we have n times b equal to 10 times with the 0 .3 equal to 3 and in b want to find the variance of the x so using the formula here which we get equal to n times b times 1 minus b equal to 10 times 0 1 3 and get equal to the 2 .1 1 .1 now for the c what you find the proper b2 of the x equal to 6 if we use the form here we should get the n equal to 10 to 6 0 .3 by 6.
01:42
1 minus 0 .3 could be 0 .7, 10 minus 6 will be 4.
01:47
If we compute it, we get the answer.
01:50
So let me compute here for you.
01:53
0 .3.
01:54
Number 3 will be 10.
01:57
Here we have exactly equal to 6.
02:00
So get equal to the 0 .0 0.
02:08
0368 and now for the d we want to find the probability on the x molecule equal to 3 this one can be written as a summation k goes from 0 up to the 3 and then 10 choose k 0 0 power k 1 minus 0 power of the 10 minus k and if we compute it we get the answer equal to 0 49894.
02:42
Now for the part e, what you find the probability x between the 6 and the 2.
02:51
So this is equal to the summation k goes from the 3 because x will be greater than 2 up to 6, 10 choose k, 012 power k, 1 minus 013 about 10 months k if we compute this one we get the answer it will be now oh i see the part in the part b in the part d and and it wrong here let me compute again this one should equal to the zpon 6 4 9 6 sorry by that now for the part e we will have the answer we have 0 .9, 8, 9, 0 .07 minus.
03:47
This will be up to the 3, so it will have here will be 2.
03:52
And it minus 0 .038, 2, 7, 8...