Need help with hypergeometric distribution! ( Sequence command in graphing calculator?)?

*** how do i do this in a graphing calculator using the sequence command ?***





A group of baseball fans consists of 4 met fans , and 6 yankee fans. if 3 are selected at random to win tickets to the all start game. what is the porbality that:





A) there will be more met fans selected ?





B) only yankee fans selected?





C) Find the expected number, and standard deviation of met fans selected.

Need help with hypergeometric distribution! ( Sequence command in graphing calculator?)?
On the TI-83, it's in the LIST menu


OPS


5: seq


seq (4 C X * 6 C (3-x)/10C3, x, 0, 3)





This will give you the four probabilities, P(no mets fans), P(one MF), P(2MF), P(3MF)





If you type the command above followed by STO-%26gt;L1


seq (4 C X * 6 C (3-x)/10C3, x, 0, 3)-%26gt;L1


the four numbers will be stored in your graphing calculuator in a LIST. Press STAT, EDIT, 1:Edit... and the four numbers are in L1.


a) more mets fans = 2 or 3 mets fans


add the last two numbers in the list.





b) only yankee fans = no mets fans = first number in the list.





c) the expected # = (4/10)*3 = 1.2 Mets fans


for the standard deviation, there's probably a formula, but if you have a graphing calculator, then there's an easy way.


In L1, you have the probabilities. In L2, type 0, 1, 2, 3





Then type STAT, CALC, 1 Var-stats


1-Var Stats L2, L1


This calculates the standard deviation of the numbers in list 2, using the numbers in L1 as a frequency.


Hope that helps.

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