00:01
In this problem, it is said that in a binomial situation, n is 4 and pi is equal to 0 .40, you need to find the probabilities for all possible values of the random variable x.
00:11
So we call the probability mass function for a binomial random variable x.
00:18
The probability of exactly r successes is given by ncr, pi to the power of r, 1 minus pi to the power of n minus r.
00:27
So in this case, n is 4, and pi is given to be 0 .40.
00:34
Here we have 1 minus 0 .40 to the power of 4 minus r.
00:38
So this is the formula we are going to use.
00:42
If we successively plug in the values of r, we will get our values.
00:47
And the values of r go from 0 to n, so 0, 1, 2, 3, and 4.
00:52
These are the four possible values of r.
00:54
So what do we ultimately end up with? we have x over here and p of x...