# Thread: Normal Distribution question

1. ## Normal Distribution question

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!!!

2. ## Re: Normal Distribution question

Originally Posted by 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!!!
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. ## Re: Normal Distribution question

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

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