# Normal Distribution question

#### 101stats101

##### New Member
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 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?