document.write( "Question 610377: Three marbles are selected, one at a time from a bin of marbles containing 6 black, 6 red and 6 green marbles. Let x represent the number of black marbles drawn in 3 draws.
\n" ); document.write( "
\n" ); document.write( "(A) If this experiment is completed without replacing the marbles, explain why x is not a binomial random variable.
\n" ); document.write( "(B) If this experiment is completed with replacement of the marbles, explain why x is a binomial random variable.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #384345 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Three marbles are selected, one at a time from a bin of marbles containing 6 black, 6 red and 6 green marbles
\n" ); document.write( "Let x represent the number of black marbles drawn in 3 draws.
\n" ); document.write( "(A) If this experiment is completed without replacing the marbles, explain why x is not a binomial random variable.
\n" ); document.write( "trials are NOT \"Independent\" of one another and P(black) is different for each trial
\n" ); document.write( " (B) If this experiment is completed with replacement of the marbles, explain why x is a binomial random variable.
\n" ); document.write( "Satisfies all of the below.
\n" ); document.write( "______________________________________________________________________________
\n" ); document.write( "A binomial experiment (also known as a Bernoulli trial) is a statistical experiment that has the following properties:
\n" ); document.write( "■The experiment consists of n repeated trials.
\n" ); document.write( "■ Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
\n" ); document.write( "■ The probability of success, denoted by P, is the same on every trial.
\n" ); document.write( "■ The trials are \"independent\"; that is, the outcome on one trial does not affect the outcome on other trials.
\n" ); document.write( " \n" ); document.write( "
\n" );