document.write( "Question 1056069: 31 A continuous random variable X has the following probability density function:
\n" ); document.write( "f(x) = 1/4, 0 ≤ x ≤ 4
\n" ); document.write( "Find the following probabilities:
\n" ); document.write( "
\n" ); document.write( "a. P(X ≤ 1)
\n" ); document.write( "b. P(X ≤ 2)
\n" ); document.write( "c. P(1 ≤X ≤ 2)
\n" ); document.write( "d. P(X = 3)
\n" ); document.write( "I am totally lost.
\n" ); document.write( "

Algebra.Com's Answer #671244 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A continuous random variable X has the following probability density function:
\n" ); document.write( "f(x) = 1/4, 0 ≤ x ≤ 4'
\n" ); document.write( "Find the following probabilities:
\n" ); document.write( "Sketch the density function as a rectangle with base = 4 and height = (1/4) \r
\n" ); document.write( "\n" ); document.write( "a. P(X ≤ 1) = 1*(1/4) = 1/4
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "b. P(X ≤ 2) = 2*(1/4) = 1/2
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "c. P(1 ≤X ≤ 2) = (2-1)*(1/4) = 1*(1/4) = 1/4
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "d. P(X = 3) = 3(1/4) = 3/4
\n" ); document.write( "--------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-----------------
\n" ); document.write( "
\n" );