document.write( "Question 1056069: 31 A continuous random variable X has the following probability density function:
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document.write( "f(x) = 1/4, 0 ≤ x ≤ 4
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document.write( "Find the following probabilities:
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document.write( "a. P(X ≤ 1)
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document.write( "b. P(X ≤ 2)
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document.write( "c. P(1 ≤X ≤ 2)
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document.write( "d. P(X = 3)
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document.write( "I am totally lost. \n" );
document.write( "
Algebra.Com's Answer #671244 by stanbon(75887)![]() ![]() ![]() 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( " |