document.write( "Question 357981: The probability that a student is late for statistics class is .2. There are 30 classes during the semster. \r
\n" ); document.write( "\n" ); document.write( " A. Find the probability that the student will be late exactly 5 times.
\n" ); document.write( "
\n" ); document.write( " B. Find the probability that he will be late fewer than 3 times.\r
\n" ); document.write( "\n" ); document.write( " C. Find the average number of times he will be late. \r
\n" ); document.write( "\n" ); document.write( " D. Find the standard deviation of the number of times he will be late.
\n" ); document.write( "

Algebra.Com's Answer #255538 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex\"*\"q%5E%28n-x%29\" where p and q are the probabilities of success and failure
\n" ); document.write( "respectively. In this case p(late) = .2 and q = .8
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%21%29%29\"\r
\n" ); document.write( "\n" ); document.write( "A. Find the probability that the student will be late exactly 5 times.
\n" ); document.write( "P = 30C5* \".2%5E5\"*\".8%5E25\"\r
\n" ); document.write( "\n" ); document.write( "B. Find the probability that he will be late fewer than 3 times.
\n" ); document.write( "P( 0 lates) + P(1 lates) + P(late twice)\r
\n" ); document.write( "\n" ); document.write( "C. Find the average number of times he will be late.
\n" ); document.write( "Mean = n*p = 30*(.2) = 6 times
\n" ); document.write( "D. Find the standard deviation of the number of times he will be late.
\n" ); document.write( "Definition of standard deviation = \"sqrt%28np%281-p%29%29\" = \"sqrt%286%2A.8%29=+2.19\" \n" ); document.write( "
\n" );