00:01
Hey there, welcome to numerade.
00:04
We are given two problems here, utilizing the binomial distribution.
00:10
So what we have here for the formula is the probability of x, equal in combinations, and choose x, times p raised to the x, times q raised to the n minus x.
00:25
So therefore, we are asked to find a probability that 3 out of 5, or in this case 11 out of 15 questions are correct.
00:37
So i'm going to label this as part a, probability of 11.
00:44
So what we know here is our sample size.
00:47
We have 15 questions with our probability as 0 .5.
00:53
So to find the probability of 11, we will be plugging this in directly into our binomial formula.
01:00
We have 15 choose 11 times the probability.
01:05
Which is 0 .5, raised to the x, which is 11 times 0 .5, 15 minus 11 is 4.
01:19
Therefore, this would give us a probability here of around 0 .04, 17...