00:01
In this problem, we have bernoulli trials with a success probability of p is equal to 0 .3, and a total of four trials are conducted.
00:10
So the number of trials n is 4.
00:12
Now we want to find all of the probabilities.
00:15
So n is 4, so the number of successes possible will be 0, 1, 2, 3, and 4.
00:23
So we're going to find the probabilities of the successes being equal to these numbers.
00:27
So recall the binomial probability formula.
00:30
The probability of x successes is given by ncx, p to the power of x, 1 minus p, raised to the power of n minus x.
00:38
So first of all, consider p of 0.
00:41
This is ncx.
00:43
What is n? n is 4, and x is, in this case, 0, so we write 0 over here.
00:49
And then we have p, which is 0 .3, raised to the power of 0.
00:52
Then we have 1 minus p raised to the power of n minus x...