00:01
Hello everyone we are going to solve a question in this question we are given that mean is equals to 250 and standard deviation is equals to under root of variance and we are given the variance is equals to this is our under root and variance is given as 2406 so this standard deviation is under root 2406 which is equals to 49 .05 so we have to solve this question.
00:37
We can write it complete as 49 .050994 and now in this question we are arguing that x is dollar value of dollar value of unusual unusual activity for customer in a month.
01:06
So let's start with the question.
01:09
In a part we have to find the probability that x is between 250 and 300.
01:16
For solving this, this is equals to probability 250 minus here we have 250 divided by 49 .050 994 is is less than x minus mu divided by sigma is less than 300 minus 250 and this divided by 49 .050994.
01:43
Let's solve this question.
01:45
Then we get that this is equals to probability that z is between 0 and 1 .02.
01:53
And from the property of this probability, this is equals to probability z is less than 1 .02 minus probability z is less than 0 .02 minus probability z is less than 0 .02 .0.
02:01
So now this is equals to from the z table 0 .8461 -36 minus 0 .5 -00.
02:10
On solving, this is equals to 0 .346136.
02:17
So now this is approximately equal to 0 .3461, which is the final answer for a part...