00:01
Okay, so i see that you need help with this.
00:03
And it says, let x represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times.
00:12
What are the possible values of x? so we're going to let x represent the difference between the number of heads and the number of tails when the coin is tossed n times.
00:26
The possible values of x are based on the number of heads and the number of tails that can appear.
00:32
So the number of heads can range from zero to n.
00:45
And the number of tails will be n to capital h.
00:54
So x equals h minus t.
00:58
So then you would have x equals h minus h minus h, which equals 2h minus therefore, x is the difference between the number of heads and tails, and it takes on values that are the result of 2h minus n, where h is the number of heads.
01:21
So h can range from 0 to n, and the possible values of x will be x equals 2h minus n for h, which is 0, 1 to 0 ,000, 2.
01:51
So on and so forth.
01:54
This implies that x will take an odd or even values.
02:07
They'll take all odd or even values depending on whether n is even or odd.
02:16
So for each value of h, x is an integer, and since x is 2h minus n, the possible values will be spaced by two units.
02:31
Number six, it says for problem five if the coin is assumed fair for n equals three what are the probabilities associated with the values of x can take on so for n equals three the probabilities associated with the values that x can take on so for number one if h equals zero that is zero heads in three tails.
03:02
So that's x equals two times zero minus three equals a negative three.
03:08
For number two, if heads is one, then one head, two tails.
03:17
So it's x equals two times one minus three, which is negative one.
03:27
Then number three, if h equals two, that's two heads, one, one tail, so that is going to be x equals 2 times 2 minus 3.
03:41
And that's a positive one.
03:43
And then 4.
03:49
If h equals 3, that's three heads, zero tails, x equals 2 times 3 minus 3 equals 1...