00:08
So in this question, you are going to let y be the number of rules.
00:20
So we can see that y is binomially distributed with n is equal to 3, and probability p is equal to 1 over 6.
00:32
So we are giving that x is equal to 7y is minus 3.
00:41
So for that a, the sample space is equal to negative 3, 4, 11, 11.
00:48
And 18.
00:51
So plug in y is equal to 0, 1, 2, 3.
00:55
Into the x formula, you are going to get, for the v part, you are going to get probability of x is equal to negative 3 is equal to the probability of y is equal to 0.
01:14
We have 1 minus 1 over 6 to the power 3, which is 0 .57, 6, 8, 7.
01:25
And you have the probability of x is equal to 4.
01:28
To be probability of 4 is equal to 1.
01:33
To be 3 choose 1.
01:36
You have the probability to the power 1.
01:43
You have 1 minus the probability to the power 3 minus 1...