A NORMAL DISTRIBUTION BONUS PROBLEM

[jw4833]

Can anyone solve this for me please???

The loan officer rates applicants for credit. Ratings are normally distributed. The mean is 400 and the standard deviation is 63. If 49 applicants are randomly chosen, what is the probability that they will have a rating between 380 and 420?

 

[tkhunny]

You are asked for a Mean of a Sample, or a Sample Mean. There is a reason why the problem statemetn uses 49, rather than 50. It simplified the answer.

Show us what you get,

Personally, I'm also tempted to use a Binomial Approximation and see how close it is.