00:01
Hi, i'm david and i'm here to help you answer your question.
00:03
Now let me bring up your question here.
00:07
In this question here we will just reveal about the binomial distribution.
00:11
Let me remind you that it will have the x followed by the binomial with the n and the b.
00:17
And then the probability x equal to k, it will equal to n 2k, b power k, times 1 minus b, power n minus k.
00:28
Now also we have the mean of the x.
00:31
Which is equal to eum the x, it will equal to n times b.
00:36
The standard division, it will equal to the square root of n times b, times 1 minus b.
00:43
In this question here, we have the standard deck under 52 count, and our interest will be we draw the space.
00:51
So we know that inside the deck of the card, there are totally the 13 space, so the for the probability to draw a spade, it will equal to the space.
01:02
The 13 over 52 equal to 1 over 4 equal to 25.
01:08
Now because we draw the card and then you put back to the deck so means that for each time you draw the probability of getting the space will be the same each time we have the total draw will be equal to the 20 so if we call the x equal to the number of the space in the 20 card and then we see x is followed by the binomial with the n equal to the 20, p equal to the 0 .25...