SOLUTION: The mean and standard deviation of the binomial distribution are 4 and 1.633 respectively. Find n,p and the distribution function at X=3.

Question 1161376: The mean and standard deviation of the binomial distribution are 4 and 1.633 respectively. Find n,p and the distribution function at X=3.

Answer by Edwin McCravy(20065) (Show Source): You can put this solution on YOUR website!
The mean and standard deviation of the binomial distribution are 4 and 1.633
respectively. Find n,p and the distribution function at X=3.



Substitute 4 for np in the second equation

 

Square both sides





Distribute:



Add -4 to both sides



Divide both sides by -4



Substitute in





Divide both sides by 0.33332775



I'd round off to p = 0.3333 and n = 12

On your TI-84

press 2nd vars and scroll to A:binompdf(

make it read this

trials:12
p:3333
x value:3
Paste

Scroll down to "Paste"
Press enter

read

binompdf(12,0.3333,3)

Press enter

0.2119838219    <--answer

Edwin

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