00:01
Okay, in this question, we have a random variable with normal distribution, with gaussian distribution, with mean value a, and variance b.
00:12
So now use the property of the gaussian distribution.
00:16
We know x minus a over square root of b is the normal distribution with mean value 0 and variance y.
00:28
Okay, now let's define this as y.
00:31
So use x, we can construct something we want, something with which we are familiar.
00:43
We have a standard normal distribution.
00:45
For a standard normal distribution, we have to check to find the value of the probability.
00:56
Okay, now we are required to find the probability of negative x less or equal to 2 times square root of b minus a.
01:12
To make this kind of thing be just like y, we first know this is equal to x greater or equal to a minus 2 times square root of b.
01:28
Square root of b.
01:30
Okay, if we multiply minus i on both sides, i mean the set is the same.
01:39
And divide a first and divide square root of b.
01:50
This is equal to x minus a over square root of b greater or equal to 2.
02:01
Okay, notice the left side is just for invariant variable y...