document.write( "Question 1173094: A bus comes by every 7 minutes. The times from when a person arives at the bus stop until the bus arrives follows a Uniform distribution from 0 to 7 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.\r
\n" ); document.write( "\n" ); document.write( "a. The mean of this distribution is
\n" ); document.write( "b. The standard deviation is
\n" ); document.write( "c. The probability that the person will wait more than 3 minutes is
\n" ); document.write( "d. Suppose that the person has already been waiting for 1 minutes. Find the probability that the person's total waiting time will be between 2.1 and 3 minutes
\n" ); document.write( "e. 56% of all customers wait at least how long for the train?
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Algebra.Com's Answer #798278 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi  
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document.write( "The times from when a person arrives at the busstop until the bus arrives follows a Uniform distribution from 0 to 7 
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document.write( "Uniform Distribution a - 0  and b= 7
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document.write( ",  and  
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document.write( "a) μ = (0 + 7)/2 = 7/2
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document.write( "b) σ = sqrt((7-0)^2/12)  = 2.02
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document.write( "c) P(x > 3mim) = (7-3)/7 = 4/7
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document.write( "d) Already waited 1min f(x) = 
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document.write( "P ( 2.1 < x < 3) = (3 - 2.1)(1/6) = .15
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document.write( "e.)P(x < k) = (k-0)(1/7) = .56
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document.write( "k =  .56/7 = .08 
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document.write( "Wish You the Best in your Studies. \n" );
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