document.write( "Question 1203929: Customer at TAB are charged for the amount of salad they take. Sampling suggests that the amount of salad take is uniformly distributed between 5 ounces and 15 ounces. Let X=salad plate filling weight. 1. Find the probability density of function of X. 2. What is the probability that a Customer will take between 12 and 15 ounces of salad. 3. What is the probability that a Customer will take fewer that 5 ounces of salad. 4 fine E(X) and Var (X). \n" ); document.write( "
Algebra.Com's Answer #839851 by ikleyn(52778)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Customer at TAB are charged for the amount of salad they take. Sampling suggests
\n" ); document.write( "that the amount of salad take is uniformly distributed between 5 ounces and 15 ounces.
\n" ); document.write( "Let X=salad plate filling weight.
\n" ); document.write( "(1) Find the probability density of function of X.
\n" ); document.write( "(2) What is the probability that a Customer will take between 12 and 15 ounces of salad.
\n" ); document.write( "(3) What is the probability that a Customer will take fewer that 5 ounces of salad.
\n" ); document.write( "(4) fine E(X) and Var (X).
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "(1)  P = \"%28X-5%29%2F%2815-5%29\" = \"%28X-5%29%2F10\".    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "     It is how the uniform distribution works.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(2)  P = \"%28X-12%29%2F%2815-5%29\" = \"%28X-12%29%2F10\",  for 12 <= X <= 15.    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "     It is how the uniform distribution works.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(3)  P = 0  for  X <= 5.    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "     It is what the problem states.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For (4), consult your textbook on uniform distribution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );