Normal Distribution question

#1
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

Super Moderator
#2
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?
 
#3
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