00:01
Let x be net profit of an investment.
00:10
Given that x follows normal distribution with mean new equal to 15 ,000 and standard deviation sigma equal to 5 ,000.
00:22
Now we have to find probability that x is at least $110 ,000 equal to probability of x's.
00:36
Greater than are equal to 10 ,000.
00:39
That is probability of standardize the value x minus mu by sigma greater than are equal to 10 ,000 minus 15 ,000 divided by 5 ,000, equal to probability of x minus mu by sigma is z greater than minus 5 ,000 divided by 5 ,000 is equal to probability of z greater than minus 1.
01:06
Which means 1 minus probability of z less than minus 1.
01:10
Under standard normal distribution, the area which is less than minus 1 is same as the area greater than 1.
01:20
So it can be written as 1 minus probability of z greater than 1.
01:24
Again it will be written as 1 minus probability of 1 minus 1 minus probability of z less than 1...