A random variable has a continuous uniform distribution with 10 < X < 20.   What is the density function? Give the density function as a piecewise function.         Find the mean and the variance.   Mean: ___________________                 Variance: ___________________         P(12.9 < X < 16.2) = _________________________               _______________________ percent of the values of the random variable X are within 2 standard deviations of the mean.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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A random variable has a continuous uniform distribution with 10 < X < 20.

 

  1. What is the density function? Give the density function as a piecewise function.

 

 

 

 

  1. Find the mean and the variance.

 

Mean: ___________________                 Variance: ___________________

 

 

 

 

  1. P(12.9 < X < 16.2) = _________________________

 

 

 

 

 

 

 

  1. _______________________ percent of the values of the random variable X are within 2 standard deviations of the mean.
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