00:01
Okay, this is again based on the standard curve, sorry, the normal curve where mu is 50, the mean is 50 and sigma is 7.
00:10
Now to find the probability that my x is between 56 and 68.
00:16
Okay, so 56 will be somewhere around here.
00:19
68 will be somewhere around here.
00:21
So i want to find the area between these two.
00:23
Okay, so what we are going to do is we are going to, okay, this is 56, this is 68.
00:31
First we are going to find the probability that x is greater than 56 and then from this we are going to subtract the probability that x is greater than 68 right because x greater than 56 means this entire region right this entire region to the right and if i subtract the probability of x greater than 68 which means this region i will only be left with this region that i want right i will only be left with this particular region that i want okay let's use the red one this particular region that we want okay so we are going to have to find the z statistic the formula for z statistic is x minus mu by sigma let us solve the first one so this is going to be 56 minus 50 by 7 or this is nothing but 6 by 7 or this will be 0.
01:45
857 right 0 .857 if i am not wrong yes this is 0 .857 so what is the p value of 0 .857 p value of 0 .857 so this is 0 .857 and i hit calculate so the p value is 01957 okay so point 1957 this is the first probability how about the second one for greater than 68.
02:18
So this is going to be 68 minus 50 by 7 which is 18 by 7...