Normal Distribution question

[101stats101]

Can someone help me out with this,

Based on a population that is normally distributed, with a population mean of $470 and a population standard deviation of $59....

1. If we randomly select ONE (1) member of this population what is the probablity that the value will be less than $450?
2. If we randomly select a sample of FOUR (4) members of this population what is the probablity that the sample mean will be less than $450?
3. If we randomly select a sample of FIFTY (50) members of this population what is the probablity that the sample mean will be less than $450?

Thanks!!!

[Dragan]

Can someone help me out with this,

Based on a population that is normally distributed, with a population mean of $470 and a population standard deviation of $59....

1. If we randomly select ONE (1) member of this population what is the probablity that the value will be less than $450?
2. If we randomly select a sample of FOUR (4) members of this population what is the probablity that the sample mean will be less than $450?
3. If we randomly select a sample of FIFTY (50) members of this population what is the probablity that the sample mean will be less than $450?

Thanks!!!

To begin with, are you familiar with the standard Z transformation so that you can use the tables in your textbook to determine the probabilities?

[gator78]

z tables will help you out a lot

look in your textbook about how to find z values and your probability calculations will be a piece of cake