document.write( "Question 1189638: Answer ALL Questions
\n" ); document.write( "1. The time it takes a student to finish a chemistry test is uniformly distributed between 50 and 70 minutes.
\n" ); document.write( "a. What is the probability density function for this uniform distribution?
\n" ); document.write( "b. Find the probability that a student will take between 40 and 60 minutes to finish the test.
\n" ); document.write( "c. Find the probability that a student will take no less than 55 minutes to finish the test.
\n" ); document.write( "d. What is the expected amount of time it takes a student to finish the test?
\n" ); document.write( "e. What is the standard deviation for the amount of time it takes a student to finish the test?
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Algebra.Com's Answer #821082 by Boreal(15235)\"\" \"About 
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It is a rectangular density function with probability 0.05 for the width, and length 20 minutes.
\n" ); document.write( "probability is 1/(b-a) in the range of the distribution, 0 otherwise.
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\n" ); document.write( "b. This is essentially between 50 and 60 minutes, and the probability is 1/2.
\n" ); document.write( "c. No fewer than 55 minutes is 15/20 or 0.75 probability.
\n" ); document.write( "d. Expected value is the mean, or the middle, and that is (1/2)(a+b)=60 minutes
\n" ); document.write( "e. sd is (b-a)/sqrt(12)=20/sqrt(12)=5.77 minutes
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