00:01
Hi, i'm david and i'm here to have you answering your question.
00:04
In the question here we are going to discuss about the normal distribution.
00:08
Let me remind to you that if the x then followed by the normal, when the mean a standard deviation, and if we turn the x we minus the mean of a standard deviation, we obtain the standard normal.
00:20
In the question here, we give me the x then followed by the normal when the mean equal to the 36 .2 and the standard number, division it will equal to the 3 .7.
00:36
Now the question asks me to find the probability that the x it will be between the 36 and the 37 .5.
00:48
Now to find this probability i need to convert the x into the z.
00:52
To do it i need to apply this formula here and then we get on the left we have the 36 minus the mean equal to the 36 .2 over the standard deviation on the right we do the same thing divided by the 3 .7 and if we compute it we will have on the left and we compute we get the 0 .2 divided by 3 .7 equals to the minus 0 .05 and on the right we have the 37 .5 minus 36.
01:38
2, dividing by the 3 .7, equal to the 0 .35.
01:45
And then here, this one, let me put the 4 extra here to make sure i will not round it wrong...