document.write( "Question 1164546: a) Plot the pmf and cdf of the geometric random variable X with probability of success p = 1/3.
\n" ); document.write( "b) Find E[X] and var(X).
\n" ); document.write( "c) Find P(X > 4) \n" ); document.write( "

Algebra.Com's Answer #854202 by mccravyedwin(420) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "This concerns getting the probablity that we will get our first success on the\r\n" );
document.write( "kth trial, with a probability of success on each trial being p = 1/3.\r\n" );
document.write( "\r\n" );
document.write( "The other tutor was correct for part b), which was: \r\n" );
document.write( "\r\n" );
document.write( "b)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "a) Instead of plotting, I'll just list the values:\r\n" );
document.write( "PMF(probability mass function) \r\n" );
document.write( "CDF(cumulative distribution function) \r\n" );
document.write( "\r\n" );
document.write( " k|PMF(k) |CDF(k)\r\n" );
document.write( " 1|0.3333 |0.3333    \r\n" );
document.write( " 2|0.2222 |0.5556\r\n" );
document.write( " 3|0.1481 |0.7037\r\n" );
document.write( " 4|0.0988 |0.8025\r\n" );
document.write( " 5|0.0658 |0.8683\r\n" );
document.write( " 6|0.0439 |0.9122\r\n" );
document.write( " 7|0.0293 |0.9415\r\n" );
document.write( " 8|0.0195 |0.9610\r\n" );
document.write( " 9|0.0130 |0.9740\r\n" );
document.write( "10|0.0087 |0.9827\r\n" );
document.write( "\r\n" );
document.write( "c)\r\n" );
document.write( "  \r\n" );
document.write( " (approximately)\r\n" );
document.write( " \r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );