document.write( "Question 1173092: The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/40 where x goes between 3 and 43 minutes. Round answers to 4 decimal places when possible.\r
\n" ); document.write( "\n" ); document.write( "a. This is a normal or uniform distribution?
\n" ); document.write( "b. It is a continuous or discrete distribution?
\n" ); document.write( "c. The mean of this distribution is
\n" ); document.write( "d. The standard deviation is
\n" ); document.write( "e. Find the probability that the time will be at most 39 minutes.
\n" ); document.write( "f. Find the probability that the time will be between 5 and 23 minutes.
\n" ); document.write( "g. Find the 15th percentile.
\n" ); document.write( "h. Find the probability that the time is more than 36 minutes given (or knowing that) it is at least 15 minutes.
\n" ); document.write( "

Algebra.Com's Answer #798279 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/40 where x goes between 3 and 43 minutes.
\n" ); document.write( "Uniform Distribution a = 3 and b= 40
\n" ); document.write( "\"f%28x%29+=+1%2F%28b-a%29+=+1%2F40\", \"mu+=+%28a%2Bb%29%2F2+\" and \"+alpha+=+sqrt%28%28b-c%29%2F12%29\"
\n" ); document.write( "Uniform and Continuous
\n" ); document.write( "c) μ = (46)/2 = 23
\n" ); document.write( "d) σ = sqrt((40)^2/12)
\n" ); document.write( "e) P(x < 39) = (39-3)/40
\n" ); document.write( "f) ( 5 < x <23) = (23 - 5)(1/40)
\n" ); document.write( "g.)P(x < k) = (k-3)(1/40) = .15 , k = 3 + 40(.15)
\n" ); document.write( "h.) NEW f(x): \"f%28x%29+=+1%2F%2843-15%29+=+1%2F28\"
\n" ); document.write( "P(x> 36) = (43-36)(1/28)
\n" ); document.write( "Wish You the Best in your Studies.
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