SOLUTION: Two jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and 10 green jelly beans. Let x represent the number of black jelly beans selected in 2 draws fr

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Two jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and 10 green jelly beans. Let x represent the number of black jelly beans selected in 2 draws fr      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 322795: Two jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and 10 green jelly beans. Let x represent the number of black jelly beans selected in 2 draws from the bowl.

(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.

(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.
(Points :4)

Answer by stanbon(57387) About Me  (Show Source):
You can put this solution on YOUR website!
Two jelly beans are selected, one at a time from a bowl containing 10 black, 10 red and 10 green jelly beans. Let x represent the number of black jelly beans selected in 2 draws from the bowl.
(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.
The probability of selecting a black bean changes after each selection.
---------------------------------------------
(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.
The probability of selecting a black bean is the same at each drawing.
========================
Cheers,
Stan H.