00:01
In this question we are given a normal distribution of population and the value of mean we are given that is represented by mu and that is equal to 50.
00:12
We are also given standard deviation that is represented by sigma that is 10 and we are given with sample size that is represented by n and sample size is 9.
00:28
So we have to find out that the probability that this sample will be between 48 to 54.
00:37
So if x represent this probability that the if x is the variable that lies between 48 to 54 both inclusive.
00:52
So we have let that x is that variable.
00:55
So basically we have to find.
00:59
Probability that this x will lie between 48 to 54.
01:06
Now this can be written as probability of x less than equal to 54 minus probability of x less than equal to 48.
01:20
Now we can write this probability that x lies between 48 and 54 so it is, so basically we can write this x as x1, which is less than equal to 54 minus probability and this x as x2, which is less than equal to 48.
01:41
Now we will convert this equation into standard normal distribution...