document.write( "Question 841608: Given a binomial distribution where n=50 and p=0.17. Which of the following is considered an unusual event?
\n" ); document.write( " a) P(x=8.5)
\n" ); document.write( " b) P(x=12)
\n" ); document.write( " c) P(x=15)
\n" ); document.write( " d) P(x=6)
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #507065 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "Given a binomial distribution where n=50 and p=0.17
\n" );
document.write( "mean =  = 8.5
\n" );
document.write( "SD = sqrt(50*.17*.83) = 2.66
\n" );
document.write( "Note: We can use the normal distribution as a close approximation to the
\n" );
document.write( " binomial distribution whenever np ≥ 5 and nq ≥ 5.
\n" );
document.write( "Note: np = 8.5  and nq = 41.5
\n" );
document.write( "Which of the following is considered an unusual event?
\n" );
document.write( "Using a normal distribution as a close approximation to this binomial distribution
\n" );
document.write( " a) P(x=8.5) mean 
\n" );
document.write( " b) P(x=12) close to 1 SD from mean ( 8.5 + 2.66 = 11.16)
\n" );
document.write( " c) P(x=15) unusual event (beyond 2 SDs from mean)
\n" );
document.write( " d) P(x=6)  close to 1 SD from mean (8.5-2.66 = 5.84  )\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "

\n" );