00:01
Hello students, we are asked in the question is serving shoppers will stay in a store for an average of this much amount of time with standard deviation is given.
00:11
The lengths of time are normally distributed.
00:13
What is the probability that the shopper will spend more than 50 minutes in a store? we need to write.
00:19
So if i write for this, we are given here normal distribution.
00:24
So in normal distribution, if i write for this, all the random variables are, distributed amongst bell shaped curve so if i write for this all the random variables are distributed amongst a bell shaped curve this is plus z minus j and probability p jr total area under normal distribution curve is one right -and -side area is 0 .5 and area is 0 .5 what does it mean it means that if i write for this area is symmetric about y -axis so if i write here j -score attribute is basically x minus mu divided by sigma where mu is equal to mean which is given as if i see here 45 minutes and sigma is standard deviation and in this case we are standard the standard deviation is given as 10 minutes.
01:42
So basically, if i write for this, this is jad score value x minus mu divided by sigma.
01:48
X value, we know that we need this probability value x is greater than 50 minutes.
01:54
So j score value is 50 minus mu, 45.
02:02
And this is 10...