00:01
Hello, students, welcome.
00:02
We have a question here and in this question this was given that 27 % of the students are graduate students and at a random sample of 14.
00:21
So therefore n is equal to 14.
00:24
Selected the random variable where x is equal to the number of graduate student, number of graduate student, number of graduate student, it will be sample will be so that exactly three graduate students are here.
00:48
So here into the selection of this question part.
00:52
First of what we have given that probability is here.
00:56
27 coursing will be equal to 0 .27 and now n is here 40 as i have written over.
01:06
So the first part of the question that we need to find the probability of getting x is equal to 3.
01:11
Will be as 14 c3 and here p to the power of x and when you see is 0 .27 to the point 3 to multiply 1 minus p which is 0 .73 under the power of p minus 3 so when we calculate this as 5 this is the value will be equal to 0 .2248.
01:49
So here we have our first solution for the probability of x is equal to 3.
01:55
This is our first solution.
01:58
Let's find out the second part of the question into the part b...