document.write( "Question 1153484: For a continuous random variable X, P(20 ≤ X ≤ 66) = 0.31 and P(X > 66) = 0.25. Calculate the following probabilities. (Leave no cells blank - be certain to enter \"0\" wherever required. Round your answers to 2 decimal places.)
\n" );
document.write( "a. P(X < 66)
\n" );
document.write( "b. P(X < 20)
\n" );
document.write( "c. P(X = 66)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #775708 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "For a continuous random variable, the probability that the value is exactly any one number is zero. \n" ); document.write( "c. P(X = 66) = 0 \n" ); document.write( "a. Given that P(X > 66) = 0.25, and now knowing that P(X = 66) is 0, P(X < 66) = 1-0.25 = 0.75. \n" ); document.write( "b. Given that P(20 <= X <= 66) = 0.31, and now knowing that P(X < 66) = 0.75, P(X < 20) = 0.75-0.31 = 0.44. \n" ); document.write( " \n" ); document.write( " |