Help with Stats problem.

[reaper_pball69]

I have a test tommorrow and this is a sample question

A machine produces high and medium quality widgets. A random sample of widgets is examined. Lex X be the number of high quality widgets found in the sample. Suppose that X is a Binomial Random Variable with a mean of 3.60 and variance of 1.44.

a)find p(sucesses), q(failures(1-p)) and n for the binomial random variable X.


Does this problem even give enough info. to answer this question and if so can you please help me out.

Thank you so much

 

[reaper_pball69]

i think i have it just tell me if im correct, please and tha

ok because u=np i have 3.6=np

now i have sigma^2(variance)=npq
sup in give 1.44=3.6(1-p)
1.44=3.6-3.6p
3.6p=3.6-1.44
3.6p=2.16
therefore p=0.6

and now q=0.4 because q=1-p=1-0.6=0.4

and for n u=np
3.6=n(0.6)
n=6



is this right and thank you???[/code][/list]

 

[royhaas]

Your answer is correct.