# 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?