00:01
For this question, there is given a normal distribution and there are given some values here.
00:06
So the mean value, let me just write the mean, which is denoted by me, that is 24 .5.
00:14
And the standard deviation, which is denoted by sigma, that is 3 .3.
00:23
Since this is a normal distribution, we can just define a random variable x, which is normally distributed.
00:31
It, the mean value is 24 .5 and the standard division 3 .3.
00:36
So in part a, we need to just find the probability of random variable x, which is greater than 25.
00:45
So we need to get this value here.
00:47
So first of all, let me just graph the normal distribution.
00:51
Here is the bell shape.
00:55
So the mean value is 24 .5.
00:58
So we got 25 here.
01:00
This is 25.
01:01
So we need to.
01:02
To get the area of this region.
01:04
In order to get this area, we are going to use the normal cdf function of the calculator.
01:11
When we look at the shaded region, the lower boundary is 25, and the shaded region that goes to positive infinity, so i'm going to put very big number, and the mean value is 24 .5 in the standard division, 3 .3.
01:25
Great.
01:26
Let's get the result.
01:27
Just press the second, and the distribution there is normal cdf, lower boundary, 25.
01:32
Upper boundary this is one in 99 and 24 .5 3 .3 so we got the answer as 0 .4398 if we just convert this number into into the percentage which is let's multiply 100 which is for the 3 .98 % of the people are have has the weight of greater than 24...