Big Bazar, a chain of 130 shopping malls has been bought out by

another larger nationwide supermarket chain.

Before the deal is

finalized, the larger chain wants to have some assurance that Big

Bazar will be consistent money maker.

The larger chain has decided to

look at the financial records of 25 of the Big Bazar outlets.

Big Bazar

claims that each outlet's profits have an approximately normal

distribution with the same mean and a standard deviation of Rs. 40

million. If the Big Bazar management is correct, then what is the

probability that the sample mean for 25 outlets will fall within Rs.30

million of the actual mean.